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

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Question 803489: Permutation or Combination?
The ways to form a 4-person committee from a group of 12 people
The ways to form a 4-person commitee from a group of 12 people such that there is a president, vice-president, secretary and treasurer.
The ways to arrange the letters A, B, C, D
The serials numbers formed using the numbers 0-9 where no repeats are allowed.
The ways to split a class of 125 into 5-person groups.

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Question 803520: Pls help me solve this question for what value of n is n+1c3=7(nc2)

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Question 803955: 11a-16-a
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Question 803550: How many 4 letter passwords can be formed from the letters P,A,Y,M,E,N,T if no repetition is allowed
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Question 804449: Serial numbers for a product are to be made using 4 letters followed by 3 numbers. If the letters are to be taken from the first 8 letters of the alphabet with repeats possible and the numbers are taken from the digits 0 through 9 with no repeats, how many serial numbers can be generated?
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Question 804456: An employer interviews 8 people for 6 computer programming positions in a company, and 3 of the 8 people are women. If all 8 are qualified, in how many ways can the employer fill the computer programming positions if exactly 2 are women?
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Question 804462: An employer interviews 8 people for 6 computer programming positions in a company, and 3 of the 8 people are women. If all 8 are qualified, in how many ways can the employer fill the computer programming positions if exactly 2 are women?
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Question 804475: A catering service offers 12 appetizers, 3 main courses, and 4 desserts. A banquet chairperson is to select 3 appetizers, 2 main courses, and 3 desserts for a banquet. In how many ways can this be done?
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Question 804588: How many 4 digit number can be made using 0 -7 with no repeated digits allowed?
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Question 804769: A student is writing a 10 questions multiple-choice test. Each question has 4 choices :A-D. how many different sets of answers can the student give?
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Question 805221: A class has 12 students. In how many different ways can the students be put into lab groups consisting of 3 students in each group?
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Question 805469: If there are 4 shirts 3 shorts and 2 pairs of socks how many combinations can you make
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Question 805701: A teacher has 7 boys and 11 girls in her class. In how many ways can she select 8 of the children to be in a play if she must select 4 boys and 4 girls.
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Question 805827: the president of large company selects six employees to receive a special bonus. he claims that the six employees are chosen randomly from among the 30 employees, of whom 19 are women and 11 are men. what id the probability that no women is chosen
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Question 805910: FIve digit numbers are made using the numbers 0 to 8. Determine the number of even numbers that can be made if each digit can only be used once


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Question 805908: 7 people are seated around a table. What is the probability that Jack and Jill are not seated together.


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Question 805908: 7 people are seated around a table. What is the probability that Jack and Jill are not seated together.


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Question 806320: How many different ways can 12 books be arranged on a shelf? How about 52 playing cards? If the above are rearranged once every second, bow long will all the permutations take to complete?
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Question 806631: number of arrangements that can be made by word 'apple'?
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Question 806624: Codes to identify entries in a computer file are formed by using sequences of five 0's and six 1's. How many such sequences are possible?
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Question 806779: How many people are needed to get 20 groups of 5?
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Question 807345: How many different seven-letter sequences can be formed from the letters a, a, a, a, a, b, c?
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Question 807469: If 10 books can be arranged in a row on a bookshelf and 4 are computer science and 6 are math books. In how many ways can they be arranged so that the math books are on the left? I know the 4 cs books are 4! and the math is 6!, I just was not sure if you add or multiple them, or if I'm on the wrong track all together.
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Question 807484: The format of some Texas license plates is letter, letter, number, letter, number, number, number. How many plates can be made if there are no restrictions on the numbers, and the letters cannot be a vowel ( a,e,i,o,u)? How do I work this problem?
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Question 807681: How many distinct permutations are there in the letters TELEVISION
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Question 808031: The mathematics fraternity is planning to enter a team in the MSU intramural sports basketball league. Ten fraternity members want to be on the team. How many ways can a starting lineup of five players can be chosen if their positions don't matter?
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Question 808028: if 12 schools teams are participating in a quiz contest , then the number of ways first , second and third position may be won is
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Question 808402: if a 22-member club needs to elect a chair and a teasurer, in how different ways can these be elected?
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Question 808441: Calculate the number of license plates that can be formed by using three distinct letters and three distinct digits in any order. How do you do this
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Question 808512: I have a question that says: How many 4 letter arrangements can be made from the word ALASKA. The answer says 72, but I have no clue how to solve it..
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Question 808751: Three men and three women are to be seated in a row. How many seating arrangements are possible if the end seats must be occupied by men?
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Question 808832: A club of 30 members Is to select a committee of five persons. In how many ways can this be done? Explain why you used the formula or process that you did.
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Question 808832: A club of 30 members Is to select a committee of five persons. In how many ways can this be done? Explain why you used the formula or process that you did.
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Question 808939: I have 60 patients that will be in blocks of 6. There will be 3 treatments available, A , B, C. I am having difficulty listing all of the possible permutations. I could really use some help. Thank you!
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Question 809010: how many 3-digit numbers can make using 2,4,6,8,0 if no repetition allowed?
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Question 809113: How many distinguishable 6 letter words can be formed using the letters in ALASKA?
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Question 809924: How many four digit numbers can be configured using 0-9 if the number must be at least 5000 and divisible by 10?
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Question 810305: a menu at a restaurant offers 9 different appetizers. how many different ways can you choose 4 appetizers?
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Question 810702: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 11 faculty members and 13 students eligible to serve on the committee
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Question 810740: Given 7 different things. In how many ways can I make GROUPS with:
7 of them, 6 of them, 5 of them, 4 of them, 3 of them, 2 of them, 1 of them, and 0 of them?

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Question 810840: How many different 8-digit passwords can be formed using numbers and lowercase letters if no repetition is allowed?
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Question 810822: Three pairs of shoes are displayed in a row. In how many ways can the shoes be arranged
(a) with no restrictions on their positions,
(b) if mates must be kept together but mates can be placed in either order,
(c) if mates must be kept together and left and right mates are kept in order, left shoe then right?

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Question 810818: Collins Cafeteria offers a selection of 5 meats, 6 vegetables, and 8 desserts. In how many ways can you select a meal of 2 different meats, 3 different vegetables and 2 different desserts?
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Question 810820: A desk holder contains 8 pens and 5 pencils. In how many ways can 4 pens or 4 pencils be selected?
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Question 811376: an examination paper with ten questions consists of 6 questions in algebra and 4 questions in geometry.atleast one question from each section is to be attempted.in how many days it can be done?
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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