Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 1097898: 4 digit numbers to be formed out of the figures 0,1,2,3,4 (no digit is repeated)then number of such numbers is
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1097765: In a factory it is known from past experience that the probability is 0.75 that a new worker who has attended the company training program will meet the production quota, and the corresponding probability for a new worker who has not attended the company training program is 0.50. If 60% of the new workers attend the training program then What is the probability that a new worker will meet the production quota? also thus, What is the probability that a new worker, who meets the production quota, attended the company’s training program?
Click here to see answer by Theo(13342) About Me 

Question 1097981: How many different​ 10-letter words​ (real or​ imaginary) can be formed from the following​ letters? (T,C,E,D,X,B,C,C,S,V)

Click here to see answer by ikleyn(52776) About Me 

Question 1098001: A catering service offers 11 appetizers, 4 main courses, and 9 desserts. A banquet chairperson is to select 5 appetizers, 3 main courses, and 3 desserts for a banquet. In how many ways can this be done?
Click here to see answer by KMST(5328) About Me 

Question 1097897: A student has to select 2 books from a collection 25 biology, 21 mathematics,
and 14 chemistry books. How many choices are possible if: both books are to
be on the same subject?

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Question 1098057: A student has to sell 2 books from a collection 25 biology,
21 mathematics, and 14 chemistry books. How many choices are
possible if:
a. both books are to be on the same subject?

b. the books are to be on different subjects?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1098055: Out of 6 physicists and 6 chemists, a committee consisting of 3
physicists and 2 chemists is to be formed. In how many ways
can this be done if: two particular physicists cannot be on
the committee together?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1098221: how many times bigger is (N + 2)! than n!
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Question 1098231: find the probability by guess work a student can correctly Answer 25 to 30 questions out of 80 questions.In each question with four choice, only one is correct and the student has no knowledge on the subject
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Question 1098208: Multiplie choice
How many four digit passwords can be made from the digits 0-6 if digits cannot be replaced?
A) 2401
B) 28
C) 625
D) 1296
E) 840
Given that 19P9 = 266112 x 20Cr what is the possible value for r?
A) 8
B) 4
C) 14
D) 9
In the final series between the top two teams of a soccer leauge, the first team to win two of the three games is the champion. In how many ways can a team lose exactly one game but still win the championship?
A) 5
B) 3
C) 7
D 4
E) 2
How many ways are there to draw one card which is a heart or diamond from a standard deck of 52 cards?
A) 52
B) 7.5
C) 13
D) 26
E) 104

Click here to see answer by yazimyne(8) About Me 
Question 1098208: Multiplie choice
How many four digit passwords can be made from the digits 0-6 if digits cannot be replaced?
A) 2401
B) 28
C) 625
D) 1296
E) 840
Given that 19P9 = 266112 x 20Cr what is the possible value for r?
A) 8
B) 4
C) 14
D) 9
In the final series between the top two teams of a soccer leauge, the first team to win two of the three games is the champion. In how many ways can a team lose exactly one game but still win the championship?
A) 5
B) 3
C) 7
D 4
E) 2
How many ways are there to draw one card which is a heart or diamond from a standard deck of 52 cards?
A) 52
B) 7.5
C) 13
D) 26
E) 104

Click here to see answer by richwmiller(17219) About Me 

Question 1098386: In the design of a certain mechanical product, ten components are to be stacked into a cylindrical casing, in a manner that minimizes the impact of shocks. One end of the casing is designated as the top and the other end is the bottom.
a. If all components are different, how many different stacks are possible?
b. If six components are identical to one another, but the others are different, how many different stacks are possible?
c. If four components are of one type and identical to one another, and four components are of another type and identical to one another, but the others are different, how many different designs are possible?

Click here to see answer by ikleyn(52776) About Me 
Question 1098386: In the design of a certain mechanical product, ten components are to be stacked into a cylindrical casing, in a manner that minimizes the impact of shocks. One end of the casing is designated as the top and the other end is the bottom.
a. If all components are different, how many different stacks are possible?
b. If six components are identical to one another, but the others are different, how many different stacks are possible?
c. If four components are of one type and identical to one another, and four components are of another type and identical to one another, but the others are different, how many different designs are possible?

Click here to see answer by KMST(5328) About Me 

Question 1098609: A car license plate contains four letters followed by three digits. How many
different plates can be made if no two adjacent letters can be the same, if
the letter I cannot be one of the letters and if the first of the three digits
cannot be the number 0?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1098700: How many distinguishable course codes can be obtained by rearranging MAA2312? Note that the 3 letters must come first and then the 4 numbers.

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Question 1098700: How many distinguishable course codes can be obtained by rearranging MAA2312? Note that the 3 letters must come first and then the 4 numbers.

Click here to see answer by math_helper(2461) About Me 

Question 1098385: a. How many ways are there to choose four fives from a standard 52-card deck?
b. How many ways are there to choose one card from a standard 52-card deck without choosing any fives?
c. How many five-card hands (drawn from a standard 52-card deck) contain exactly four fives?
d. How many five-card hands (drawn from a standard 52-card deck) contain a four-of-a-kind?

Click here to see answer by KMST(5328) About Me 

Question 1098384: A shipment of 22 fuses contains 3 defective fuses. A quality control specialist chooses a sample of 7 fuses from the shipment.
a. How many possible choices of 7 fuses can be made?
b. How many of these possible selections will not contain any defective fuses?
c. How many of the possible selections will contain at least one defective fuse?
d. How many of the possible selections will contain exactly one defective fuse?

Click here to see answer by KMST(5328) About Me 

Question 1098383: After being put into service, some buses manufactured by a XYZ Company have developed cracks on the underside of the main frame. Suppose a particular province has 23 of these buses, and cracks have actually appeared in 12 of them.
a. How many ways are there to select a sample of 10 buses from the 23 for a thorough inspection?

b. In how many ways can a sample of 7 buses contain exactly 3 with visible cracks?

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Question 1098718: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 12 faculty members and 14 students eligible to serve on the committee?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1098474: Out of 11 biologists and 6 physicists, a committee consisting of 8 biologists and 2 physicists is to be formed. In how many ways can this be done if two particular biologist cannot be on the committee together?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1098955: A shelf has 7 probability books and 9 electonics books. Find the probability that 5 particular probability books will be together.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1099018: Student painters which specialize in painting the exterior of residential buildings have five people available to be organized into two-person and three-person teams. A) In how many ways can the two-person team be formed? B) In how many ways can the three-person team be formed? C) In how many ways can the company organize the available people into two or three person teams?
Click here to see answer by ikleyn(52776) About Me 

Question 1098954: Suppose five integers are chosen successively at random between 0 and 15, inclusive. Find the probability that:
(Round your answer to four decimal places if necessary.)
a. not more than 2 are the same?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1099170: Suppose you play a game of chance in which you toss a coin 3 times. You pay a nor refundable $2 to play the game. You win $10 in case your coin lands with a tail on top during the three tosses. You win nothing otherwise.
a) Fill out the following probability distribution table.
b) Over the long term, what is your expected value of playing the game?
c) If you played this game 100 times, how much would you expect win/loose?

Click here to see answer by greenestamps(13198) About Me 

Question 1099235: A basketball coach selects two players from a group of 38 and sends them to an international training program. Find the probability that Collin is chosen given than Danny has already been chosen.
Click here to see answer by Fombitz(32388) About Me 

Question 1099322: How many collections can be made from 7 pens , 9 notebooks and 11 papers?
Click here to see answer by Alan3354(69443) About Me 

Question 1099427: n>k+s+2 . How many permutations has the set {1,2,3...n} ,with condition that in the middle of the numbers 1 and 2 ( and 2 and 1) are exactly k numbers and in the middle of the numbers 2 and 3 (and 3 and 2 ) are exactly (k+1) numbers?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1099682: A certain manufactured bag is visually inspected by two different quality control inspectors. When a defective bag comes through the line, the probability that it gets by the first inspector is 0.065. Of those the get past the first inspector, the second inspector will miss six out of fifteen. What fraction of the defectives get by both inspectors?
Click here to see answer by Theo(13342) About Me 

Question 1099807: A credit card number has 16 digits between 0 and 9 inclusive.If only 100 million numbers are valid, what is the probability that a number that is entered ramdomly is valid?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1099807: A credit card number has 16 digits between 0 and 9 inclusive.If only 100 million numbers are valid, what is the probability that a number that is entered ramdomly is valid?
Click here to see answer by Alan3354(69443) About Me 

Question 1099871: There are four different routes that Cassidy can walk from home to the post office and two different routes that she can walk from the post office to the bank. How many different routes can Cassidy walk from home to the post office and then to the bank?
Click here to see answer by ikleyn(52776) About Me 

Question 1099798: The parents of 5 students are invited to attend their graduation ceremony. They are arranged to be seated in a row of 10 VIP seats. How many ways can they be seated if any 3 pairs of parents are to be seated to their own spouse.
ANS from tutorial bk : 403200 ( i just need to show steps )

Click here to see answer by greenestamps(13198) About Me 

Question 1099905: There are 10 students from whom 4 are going to be chosen to represent their club at a meeting. If, Sue, Mark, or John, but only one of them must be chosen, in how many ways can the students be chosen to go to the meeting?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1100062: Three bands and two comics are performing for a student
talent show. How many different programs (in terms of order)
can be arranged?
How many if the comics must perform between
bands?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1100155: A dealer provides you maruti car and van in 2 body patterns and 5 different colours. How many choices are open to you?
Click here to see answer by ikleyn(52776) About Me 

Question 1100296: There are 6 players in a team for photography they were told to stand in 1 straight line how many different combinations can they make
Click here to see answer by ikleyn(52776) About Me 

Question 1100361: Four boys were asked to think of a three-digit number. Each boy wrote the last digit of his number. The first boy wrote 6, the second wrote 1, the third wrote 0 and the last wrote 5. Who could have thought of a prime number?
Click here to see answer by richwmiller(17219) About Me 

Question 1100362: In a basketball game competition, there are many teams and each team plays with each other once. Find the total number of matches played if there are 3 teams?
Click here to see answer by ikleyn(52776) About Me 

Question 1100511: A quinella bet consists of selecting the first and second place winners, in any order, in a particular event. For example, suppose you select a 2-5 quinella. If 2 wins and 5 finishes second, you win. Mr. Smith goes to a jai alai match. In the match, 8 jai alai teams compete. How many quinella tickets must Mr. Smith purchase to guarantee a win?
Click here to see answer by jorel1380(3719) About Me 

Question 1100573: Teachers divided students into groups of three each group of three wrote a report that had nine pictures in it the students Used 558 pictures altogether how many students were there all together
Click here to see answer by stanbon(75887) About Me 
Question 1100573: Teachers divided students into groups of three each group of three wrote a report that had nine pictures in it the students Used 558 pictures altogether how many students were there all together
Click here to see answer by richwmiller(17219) About Me 

Question 1100437: If five cards are dealt from a standard deck of cards, how many different ways can three kings and two queens be dealt?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1100741: In how many ways can you place 9 different books on a shelf if there is space for only 5 books?
Click here to see answer by KMST(5328) About Me 

Question 1100742: A multiple choice test consists of 8 items each with 4 choices. A student guesses the answers by choosing an answer at random. Compute the probability that
(a) the student answers all questions incorrectly?
(b) the student answers all questions correctly?
(c) the student answers 2 or more correctly?
(d) Suppose the student is able to eliminate one of the answers as incorrect and chooses randomly from the other three choices. What is the probability the student answers 2 or more correctly?

Click here to see answer by Fombitz(32388) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035