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

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Question 601739: Whats the formula and answer for this problem:
A women is going out for the evening.She will put on one of 6 dresses, one pair out of 8 pairs of shoes, and go to one of 7 restaurants. In how many days can this be done?
Thank You in advance!

Click here to see answer by josmiceli(19441) About Me 

Question 601827: A computer password consists of a letter of the alphabet followed by 3 or 4
digits. Find the total number of –
(a) passwords that can be formed
(b) passwords in which no digit repeats

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Question 602036: Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box receives exactly one card.

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Question 602332: Help please on Permutations.
Problem:
how many ways can 15 students be separated into two groups of 8 and 7?
Attempt:
Since they will be separated into 2 groups, i tried using 15!/7! since the rest (those seven left) will be on the other group, but it does not show the combinations for the other group. And so i am wrong. :/

Click here to see answer by scott8148(6628) About Me 

Question 602377: How many different ways can you arrange the letters A,B,C, and D?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 602504: if you have 3 chairs and 5 people how many different arrangements can you come up with?

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Question 602845: A multiple-choice quiz consists of 5 questions, each permitting a choice of 3
alternatives. In how many ways may a student fill in the answers if they answer
each question?

Click here to see answer by flame8855(424) About Me 

Question 604095: The door code to get into a top secret laboratory is 6 digits. the first 3 digits of the code are all odd and the last 3 digits are all even. Digits can be used more than once. How many possible codes are there to gain access to this laboratory?
This is a Permutations and Combinations question.

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Question 604146: How many ways can you make a sandwich by choosing 4 of 10 ingredients
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Question 604459: How many five card hands consisting of 3 kings and 2 aces can be dealt from a deck of 52 playing cards?
Click here to see answer by stanbon(75887) About Me 

Question 604518: Janet sits on the 7th chair from each end of a row. How many chairs are there in a row?
Click here to see answer by solver91311(24713) About Me 

Question 604594: How many 4-element subsets containing the letter A can be formed from the set {A,B,C,D,E,F,G}?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 604720: Hi, I have a math problem that almost no one in my class can solve:
How many multiples of 3 between 100 and 1000 can be formed from the digits 1, 4, 5, 6, and 8?
Please answer, and thanks!

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Question 604761: The number of ways in which 12 students can be equally divided into three groups is
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Question 604829: How many signals can be formed from 4 flags of different colors using all at a time?
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Question 604776: In how many ways can 3 people be selected from 20 candidates?
for some reason I did 3 x 20 and get 60 but feel wrong.

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Question 604911: Jace's collection of sports cards includes ten baseball, seven basketball, and nine football cards. He wants to give away two cards from different sports to his friend for a birthday present. How many ways can he choose the two cards?
I have tried 26P2 and 26C2 but I am not sure if any of these are right. I have also tried 26!/10!7!9!
I am not sure if I am working this problem out right. Please help my understand how this problem is worked out.
Thank you so much for your help!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 604615: A commitee of 9 is to be selected from 6 women and 8 men.in how many ways can this be done if the committee must contain at least 4 women?
Click here to see answer by scott8148(6628) About Me 

Question 604708: There are 10 first-tier national rugby union teams.
(a) How many different two-team pairings are possible among those 10 teams.
I guess, the answer to this will be C(10,2) = 45 ways
I am stuck in the following
(b) how many different ways are there to select a 1st, 2nd and 3rd ranked teams from these teams
(c) Suppose 4 teams are going to gather in Sydney, the other 6 teams in Melbourne. How many ways it can be done?
Thanks

Click here to see answer by scott8148(6628) About Me 

Question 605243: 6 boys and 5 girls are to be seated around a table. Find the number of ways that this can be done in each of the following cases.
a. there are no restrictions
b. no 2 girls are adjacent
c. all girls form a single block
d. a particular girl G is adjacent to two particular B1 and B2

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

Question 605367: How many can combinations can someone make with 8 shirts and 6 pants

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Question 605823: You are given the following seven-digit number: 4064465.
How many different seven-digit numbers can be made by rearranging the digits of 4064465?

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

Question 605873: If no digit appears more than once, how many 5-digit numbers can be formed from the digits 2, 3, 4, 6, and 7?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 606185: tell me about basic of permutation
Click here to see answer by mathie123(224) About Me 

Question 606393: nP6=6(nP4)
so far I have: n!/(n-6)!=6[n!/(n-4)!]

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Question 606525: how many different three letter codes are there if only the letters a,b,c,d,e,f are used and no letter is used more than once?

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Question 606896: what is the combination? ( choose 4 people from 6 )
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Question 607029: So there are three seats, each one can either be filled by a boy or a girl. How many different combinations are there with repetition?
I know that there are 4:
BBB
BBG
BGG
GGG
However, I don't know the equation to find this... Could you help? Much obliged!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 607044:
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Question 607052: a 40 row theater has 10 seats in the front row. the second row has 11 seats. if each row has one more than the row in front of it how many seats are there in the theater
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Question 607088: in how many ways can 8 students be seated in a row of seats to take an exam?
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Question 607027: If 7 students are at a bus stop, how many ways can they enter the bus when it arrives?
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Question 607137: A survey of 1100 people in a certain city indicates 860 own microwave ovens, 730 own DVD players and 600 own microwaves and DVD players.
A) How many people in the survey own either a microwave oven or DVD player?
B) How many people in the survey own neither oven nor DVD player?
C) How many people in the survey own microwave ovens and do not own a DVD player?

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Question 607151: How many different 10-letter words (real or imaginary) can be formed from the letters in the word APPEARANCE?

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Question 607151: How many different 10-letter words (real or imaginary) can be formed from the letters in the word APPEARANCE?

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Question 607074: We have 6 golfers, we are playing together over six days, split into 2 teams of 3
Larry
John
Peter
Brian
Trevor
Mike
What is best way to ensure that the team members are playing evenly with the other team members.

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Question 607074: We have 6 golfers, we are playing together over six days, split into 2 teams of 3
Larry
John
Peter
Brian
Trevor
Mike
What is best way to ensure that the team members are playing evenly with the other team members.

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

Question 606545: At a local college, of the male students are smokers and are non-smokers. Of the female students, are smokers and are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are non-smokers?
Do not round your answer.
Thanks for your help!!

Click here to see answer by richard1234(7193) About Me 

Question 607305: You're are taking a multiple choice test that has five questions. Each of the questions has 3 answer choices, with 1 correct answer per question. If you guess for each one and leave nothing blank, in how many ways can you answer the questions? (and..) What is the probability that all of your answers will be INcorrect?
Click here to see answer by stanbon(75887) About Me 

Question 607304: In how many different ways can a chairperson and assistant chairperson be selected if there are seven scientists available?
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Question 607661: How many ways can a committee of 2 boys and 2 girls and an alternate of either gender be chosen from 5 boys and 6 girls?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 608170: How many different combinations of four flowers can you make from six different flowers?
You decide to put the pictures of six friends in a row on a bulletin board. In how many ways can you arrange the pictures?
Two of the four schools will perform the opening cheers. How many combinations of two schools are possible?

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Question 608480: At a local restaurant you have a choice of 5 appetizers, 12 entrees, and 3 desserts. How many different combinations can you make of one appetizer, one entrée, and one dessert?
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Question 608485: 10 math students are working on a course project and the professor says they may work in groups of 2 people and submit their projects together. How many different groups of 2 people can be made up from these students?
Click here to see answer by stanbon(75887) About Me 

Question 608489: 10 math students are working on a course project and the professor says they may work in groups of 2 people and submit their projects together. How many different groups of 2 people can be made up from these students?
Click here to see answer by flame8855(424) 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