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

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Question 970797: Julian is looking at 6-digit locks for his football locker. How many diffrent codes are possible if no digit can repeat?
Click here to see answer by Boreal(15235) About Me 

Question 970795: You are going to pull two cards from a standard deck of 52 cards (without replacemnet) and record whether you got a face card (jack,queen,king, or ace) or a number card (2-10). Which list of events correctly makes up the sample space?
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Question 970799: A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow.
What is the probability that you choose a red marble and then a green marble assuming you replace the first marble?

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Question 970796: Spinner experiment
Color: red, blue, green, yellow
occurrences: 23 , 44 , 7 , 26





The table shows the data from a spinner experiment. What is the probability that the spinner landed on green or red?

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Question 970794: Consider a circle with two points, A and B. You can for exactly 1 segment. If there are three points, you can Form 3 segments.
How many segments can be formed from 4 points? 6points? 20 points, respectively?

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Question 970803: A bag contains 12 balls numbered from 1 to 12. Two balls are selected from the bag at the same time
Let event E=the two numbers differ by 4
How many outcomes are in the complement of E?

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Question 970852: What is the missing numbers
( )+ ( )+ ( ) = 30
Using this given numbers 1,3,5,7,9,11,13,15

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Question 970577: A graduation Committee of 6 students is to be selected from the 4 males and 6 female on the student council. How many graduation committees are possible if the President of the student council who is female must be on the committee?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968591: nine desks have been placed in a classroom for nine students. how many different ways can the nine students arrange themselves in the nine chairs?
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Question 970340: I have a test of 285 total questions segregated into 12 categories. I randomly choose 5 questions per category. How many different 60 question tests can be created?
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Question 970886: An entertainment hall must select 6 of 18 possible entertainers for its summer schedule. In how many ways can that be done?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 971051: The number of straight lines that can be formed by joining 10 points no three of which are in the same straight line except 7 of them which are in the same straight line, is
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Question 968730: Two cars start from the same point on a straight road at the same time, but travel in opposite directions. One car ignores the speed limit and averages 80 miles/hour and the other averages 70 miles/hour. In how many hours will they be 600 miles apart?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968536: how many ways can 8 people be seated at a round table if two people must not sit next to each other?
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Question 971130: When looking through a drawer i found: 6 pairs of scissors, 4 buttons, 7 paper clips, 13 pieces of paper, 2 rubber bands, 1 marble, 8 un sharpened pencils, 3 ball point pens, 1 sharpie.
Find the following probabilities and label independent/dependent
P(a piece of paper)=
P(2 rubber bands) with replacement =
P(4 un sharpened pencils) without replacement =
P ($100 bill) =

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Question 971363: How many different 5-digit zip codes are possible if no digits are repeated?
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Question 971530: A Bag contains 13 red balls numbered 1 - 13 and 5 green balls numbered 14 - 18.
1.) You choose a ball at random. What is the probability that you choose a red OR an even numbered ball?
2.) You randomly choose 2 balls from the bag AT THE SAME TIME. What is the probability that you will choose a red and a green ball?

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

Question 971491: In how many ways could 14 people be divided into five groups containing, respectively, 1,2,5,4, and 2 people?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 971308: How many 5 digit PINs (using digits 0-9) are possible if numbers can be repeated,
but the repeated numbers must be odd?

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Question 971427: 15 gymnasts are competing in a national competition and will be ranked from 1 to 5
top five gymnasts will then move on to the world competition how many different
ways can the top five gymnasts be ranked?

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

Question 971260: Traditional Chinese banquets consist of many round tables seating 10 persons.
How many different seating combinations are there for seating 20 people around two round tables.
Assume that the tables are identical and indistinguishable, and the only thing that matters is the seating order around the table (in other words, each set position is also identical and indistinguishable from each other)

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

Question 970295: 15 basketball players are to be drafted by 3 professional teams (A,B,C). Each team will draft 5 players. In how many ways can this be done?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 971762: Write an expression for the apparent nth term of the sequence, assume that n begins with 1:
-1,2,7,14,23...
We know that we are to figure out the relationship between n and the terms, but I just can't seem to figure it out.

Click here to see answer by josgarithmetic(39616) About Me 

Question 971882: There are two rows of seats in the classroom and each row has six seats. If a class has nine students, and among them three female students G1, G2 and G3 always sit in the first row, two male students B1, B2 always sit in the second row. In how many different ways can all the nine students sit in the classroom?

Click here to see answer by Boreal(15235) About Me 

Question 968524: how many different ways can 3 parties be assigned to 3 of 12 empty booths in a restaurant?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 971985: 1. How many different sums of money can be made from a penny, a nickel, a dime and a quarter?
2. In a certain election, there are three candidates for president, four for vice presidents, five for secretary, but only two for treasurer. In how many ways may the election turn out?

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Question 972023: If we roll 19 identical dices together at the same time and calculate the sum of the numbers rolled, how many different possible values of the sum can we get?
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Question 971963: How to make the sum30 by using three numbers from 1to15 odd numbers ad repeation is allowed

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Question 972106: Find the number of 4-letters words possible by taking 4 letters from the word "INKLING". (A)270 (B)340 (C)460 (D) 580
Click here to see answer by Edwin McCravy(20054) About Me 

Question 972432: A van has eight seats. How many ways can people be seated if only five can drive
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Question 972562: how many different ways can 5 people sit at 5 desks?
Click here to see answer by Boreal(15235) About Me 

Question 972735: A company has 6 officers and 3 directors (9 different people). In how many ways can a committee of 4 be selected from these 9 people so that the following hold?

3 members are officers and 1 is a director.

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Question 972850: A bucket has all 26 letters of the alphabet inside. What is the probability that 10 letters drawn contains exactly 3 vowels? Truncate to three decimal places.

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Question 972832: what is the answer to this question: a commitee of 4 students 3 teachers is to be formed from 6 student and 5 teachers
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Question 972739: Find the probability on a single toss of a pair of dice of obtaining the following. (See Example 6. Enter the probability as a fraction.)
Click here to see answer by Fombitz(32388) About Me 

Question 972752: if a bus contain 48 seats and the ratio of students and supervisor is 1:5 so now what is the total number of students and supervisor are in the bus (we have just one bus no matter if some seats are empty)
Click here to see answer by macston(5194) About Me 

Question 972875: What is the answer to this question: A commitee of 4 students and 3 teachers is to be formed from 6 students and 5 teachers. How many different commitee are possible?
Click here to see answer by solver91311(24713) About Me 

Question 972880: what is the answer to this question: A commitee of 4 students and 3 teachers is to be formed from 6 students and 5 teachers. how many different commitee are possible
Click here to see answer by macston(5194) About Me 

Question 973007: the probability that i am late from work is 0.05. Find the probability that on two consecutive mornings I am late from work (i) once (ii) twice (iii) at least one morning.
Click here to see answer by Theo(13342) About Me 

Question 972621: You want to form a committee of 3 girls and 2 boys from a group of 8 girls and 6 boys. John is one of the boys, and Marie is one of the girls. How many committees are possible if John and Marie cannot be on the committee together?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 972600: in how many ways can 4 boys and 5 girls be shifted in are room so that they
alternate?

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Question 973197: If 6 times number of permutation of n items taken 3 at a time is equal to 7 times no of permutation ( n-1) item taken 3 at a time then n value is
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Question 972737: Roy must elect 3 courses from among 6 courses in group I and 3 courses in group II. If he must take at least 1 of his 3 electives from each group, how many choices does he have? (Hint: First find how many choices he has if he elects only 1 course from group I. Then find how many choices he has if he elects 2 courses from group I. Since he must do one or the other of these, the final answer is the sum of the two answers.)
Click here to see answer by Edwin McCravy(20054) 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