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

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Question 951664: how many different strings of length 9 can be formed using only the digits {0, 1, 2, 3 }, of the first digit in the string cannot be 0 and the last cannot be 3
Click here to see answer by Edwin McCravy(20054) About Me 

Question 951200: a math teacher is preparing a quiz for all of the students in grade 12. she wants to give each student the same questions,but have each student's questions appear in a different order. if there are 128 students in the grade 12 class, what is the least number of questions the quiz must contain so everyone gets a test with the questions in the different order
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Question 952048: How many different 5-digit even numbers can be formed using the numerals 1, 2, 3, 4 and 5 if the numerals can be repeated
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Question 952218: there are 3 teams with 1 leader. how many possibilities?

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Question 952270: A pizza place is offering a special where you can buy 1 large pizza with one cheese, 2 vegetables and 3 meats. There are 3 kinds of cheese, 9 vegetables and 5 meats to choose from, how many different variations are possible.
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Question 952374: a school board is made up of 12 members. how many ways can the boards create a sub-committee of 4 members to review the new math textbooks
Click here to see answer by Edwin McCravy(20054) About Me 

Question 952373: a man has 4 pairs of dress pants, 4 dress shirts, and 10 ties. how many different ways can he dress for a job interview
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Question 952372: a restaurant offers 5 appetizers, 6 entrees, and 3 desserts. how many different ways can a customer choose one appetizer, one entree, and one dessert?
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Question 948190: A group of 30 people consists of 15 men and 15 women. How many ways are there to
(a) arrange all the people people in a row?
(b) arrange all the people in a row so that the men are together?
(c) divide all the people into two groups (group 1and group 2) so that all the men are in group 1 and all the women are in group 2?

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

Question 952359: The math club consists of 9 people. How many ways can president, vice-president, and secretary be chosen in this club?
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Question 949940: two girls chosen at random to attend an after school meeting.how many diffrent pairs are possible?
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Question 948906: -+-+-=30 fill the boxes using (1,3,5,7,9,11,13,15) u can also repeat the numbers
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Question 951901: 33 people distributed among 3 committee of 11. How may ways can this be done?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 952661: List the elements of the set in roster notation. (Enter EMPTY or ∅ for the empty set.)
{x | (x − 9)(x + 1) = 0 and x is a negative integer}
Thank You!

Click here to see answer by amarjeeth123(569) About Me 

Question 952916: how many 5 digit counting numbers contain at least one 6

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Question 952834: 16 people ( 10 men & 6 women) are on a team. How many different ways can the team chose a captain, manager, assistant coach if:
a. the manager must be a woman
b. the captain must be robert (one of the men)
c. at least one man and one women must be chosen for the 3 distinct positions

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

Question 952993: how many 5-digit numbers of 1,2,3,4,5,6 and 7 the number must contain a 6 and must not contain a 5?
how many 5-digit numbers of 1,2,3,4,5,6 and 7. The digit 3 must be in the second position and the 4 in the third position. the number must contain a 6 and not a 5. no digit can repeat

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

Question 952577: The number of 3-digit numbers more than 800 that can be formed if the last digit is a 2 or a 3, and no digit can be repeated is
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Question 953249: How many ways can we arrange two letters from the word computer without repetition
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Question 953171: from a club of 25 people, in how many ways can a group of four members be selected to attend a conference
Click here to see answer by Edwin McCravy(20054) About Me 

Question 953158: From a class of 6 male and 8 female students, a committee of 4 students is chosen. How many different committees contain more than 2 female students?

I thought of doing C (6,1) * C(8,3), but not sure if it makes sense.

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

Question 953386:
Click here to see answer by Alan3354(69443) About Me 

Question 952974: Please provide all possible 4 digit pin number combinations with a 2, 5, 7, 8 & a 9
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Question 953488: If six city commissioners can be selected from a group of 21 candidates in how many ways?
Click here to see answer by addingup(3677) About Me 

Question 953596: in how many ways can a party of seven persons arrange themselves
a. in a row of seven chairs?
b. around a circular table?
using combinatorial analysis

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Question 953596: in how many ways can a party of seven persons arrange themselves
a. in a row of seven chairs?
b. around a circular table?
using combinatorial analysis

Click here to see answer by Theo(13342) About Me 

Question 953595: suppose repetitions are not permitted.
a. how many three digit numbers can be formed from the six digits 2,3,5,7 and 9?
b. how many of these numbers are less than 400?
c. how many are even?
d. how many are odd?
e. how many are multiples of 5?
using combinatorial analysis

Click here to see answer by stanbon(75887) About Me 

Question 953628: Solve this..

Click here to see answer by Alan3354(69443) About Me 

Question 953794: combinatorial analysis
there are four bus lines between a and b; three bus between b and c. in how many ways can man travel
a.by bus from a to c by way of b?
b. roundtrip by bus from a to c by way of b?
c. roundtrip by bus from a to c by way of b, if he doesnt want to use a bus line more than once?

Click here to see answer by Theo(13342) About Me 

Question 954305: A poker hand consists of 5 cards. How many ways can you get four of a kind?
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Question 954422: How many combinations of five colors can be made
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Question 954482: Paul and Jasdeep are going out with their friends Sue and Gertrude to play mini putt. They are going to play in teams. What is the probability that Paul and Jasdeep are partners in the first game? I get 1/6, but the answer is 1/3, pls explain?

Click here to see answer by stanbon(75887) About Me 

Question 954612: In how many ways can a group of 24 students be organized into groups of 2 if student number 3 and student number 22 must always be one of the pairs? How can this situation be expressed mathematically?
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Question 954654: 0.25x10^5 divide by (0.4x0.6)^6
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Question 954707: How many 5-letter "words" can be formed if letters can be repeated ?
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Question 954693: What is 65/100=30
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Question 954869: A dart board has 4 concentric circles, the inner circle has the value 9, the next has the value 7, the next 4 and the out side circle 1. 4 darts are thrown at the board (and always hit!) how many different solutions are there when adding up the value of the 4 dart hits. e.g. if all darts hit the inner circle the answer would be 36 if they all hit the outer circle the answer would be 4. Some of the solutions will repeat e.g. 1+4+4+7=16 as would 4+4+4+4=16 therefore to me simply using 4! wouldn't work. This seems like it should be simple but I can't find an elegant way to solve it!
Many thanks, Michael

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

Question 954692: I have turkey ham and beef white and wheat bread. How many combos can I make
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Question 955222: A fast food restaurant has heard that some of its customers have been dissatisfied with the food and service.
The restaurant wishes to check on this by sampling customers as they exit. It decides to randomly survey 3
out of the first 10 customers one day. The restaurant will deem that the situation is acceptable if none of the
3 customers surveyed are dissatisfied. Now suppose that in reality, 2 out of the 10 customers (20%) are
dissatisfied.
a) What is the probability that the restaurant will happen to survey both dissatisfied customers?
b) What is the probability that the restaurant will conclude that the situation is acceptable?

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Question 955198: Please help!!!
Another representation in polar coordinates for the point (2, π/3) is (
), (4π)/3).

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Question 955353: Solve this.. ◻ ➕ ◻ ➕ ◻=30 Fill the boxes using (1, 3, 5, 7, 9, 11, 13 ...

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Question 955436: Helo I'm wondering if anyone can explain the formula to calculate this question.
olympic flag bears five rings
How many ways are there of arranging the five rings?
The book says 120 as the answer but gives no formula to calculate the answer so inrespect I have learnt nothing.
But I want to learn could anyone plz help.

Click here to see answer by macston(5194) About Me 
Question 955436: Helo I'm wondering if anyone can explain the formula to calculate this question.
olympic flag bears five rings
How many ways are there of arranging the five rings?
The book says 120 as the answer but gives no formula to calculate the answer so inrespect I have learnt nothing.
But I want to learn could anyone plz help.

Click here to see answer by MathLover1(20849) About Me 

Question 955437: What is the P( an odd # or an even #) from a 52 deck of cards

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

Question 955513: there are 3 different positions available in a business firm. if there are 15 applicants, in how many ways can the firm fill the position?

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