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

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 460342: tossing a dime, a quarter, a penny, and a nickel and rolling a number cube Click here to see answer by richard1234(5390)

 Question 461144: A shipment of 120 computer cases that contains5 defective cases was sent to an assembly plant. he quality control manager as the assembly plant randomly selects 5 cases and inspects them. What is the probability exactly one case is defective? Click here to see answer by edjones(7569)

 Question 461183: how many 3 digit codes can be formed from the set 2, 4, 6, 8, if no digit can be repeated? Click here to see answer by sudhanshu_kmr(1152)

 Question 461185: in the numeral 1,992, the thousands digit is increased by 7 and the tens digit is decreased by four. what is the new number formed? Click here to see answer by stanbon(57282)

 Question 461379: How many ways 5 boys and 10 girls can sit in a row, if two particular boys and also two particular girls must not sit together? Please help... Click here to see answer by sudhanshu_kmr(1152)

 Question 461554: How many different teams of 5 children can be chosen from a group of 7 boys and 20 girls? Click here to see answer by edjones(7569)

 Question 462383: In a shipment of 11 CD players, two are defective. Find the probability that a sample of 3 CD players will contain no more than one defective one. Click here to see answer by stanbon(57282)
 Question 462383: In a shipment of 11 CD players, two are defective. Find the probability that a sample of 3 CD players will contain no more than one defective one. Click here to see answer by edjones(7569)

 Question 462899: Find the number of way of arranging all the letters of the word TENNESSEE: a) the FIRST two letters must be EE b) the FIRST can NOT be EE Click here to see answer by Edwin McCravy(8893)

 Question 462927: Using Excel: determine the number of ways you can select 2 girls and 2 boys from a group of 4 girls and 6 boys. Click here to see answer by stanbon(57282)

 Question 463108: suppose that there are four jobs to be allocated among seven workers. if only one worker is to be assigned to each job, and any of the workers is able to do any of the jobs, how many different possible allocations can be made? my confusion is either to solve for permutation or combination. Click here to see answer by amoresroy(333)

 Question 463298: A password consists of 4 letters followed by a 3 digit number: how many passwords are available if there are no restrictions and how many passwords are available if none of the letters or digits can be repeated? Click here to see answer by edjones(7569)

 Question 463633: A committee of 4 has to be formed out of a group of 17 students. How many such committees are possible? Click here to see answer by aliateach(10)

 Question 463637: Two scholarships (of EQUAL value) have to be given to 2 applicants out of a group of 23 applicants. How many possible ways can you select these 2 awardees? Click here to see answer by edjones(7569)

 Question 463896: How many different ways can a city health inspector visit 5 restaurants in a city with 10 restaurants? Click here to see answer by stanbon(57282)

 Question 463899: If a person can select 3 presents from 10 presents under a christmas tree, how many different combinations are there? Click here to see answer by sudhanshu_kmr(1152)

 Question 463900: How many ways can a jury of 6 women and 6 men be selected from 10 women and 12 men? Click here to see answer by stanbon(57282)
 Question 463900: How many ways can a jury of 6 women and 6 men be selected from 10 women and 12 men? Click here to see answer by sudhanshu_kmr(1152)

 Question 463893: The call letters of a radio station must have four letters. The first letter must be a K or a W. How many different station call letters can be made if repetitions are not allowed? If repetitions are allowed? Click here to see answer by edjones(7569)

 Question 463977: each user on a computer system has a password which can be 5 to 7 characters long, where each character is a lower case letter, an uppercase letter or a digit. Each password must contain at lease one digit. How many distinct passwords are possible Click here to see answer by edjones(7569)

 Question 463974: how many committees of 6 person can be chosen from a group of 8 men and 9 women when it contains more men than women Click here to see answer by edjones(7569)

 Question 463897: The foreign language club is showing a 4 movie marathon of subtitled movies. How many ways can they choose 4 from the 11 available? Click here to see answer by edjones(7569)

 Question 464107: 7 young girls are to be seated in a row. Calculate the number of different ways in which this can be done if 2 particular girls, Ushna and Manood, have exactly 3 of the other girls between them. *Note: I know that the answer is this: (5C3) x (3!) x (3!) x (2!), but I can't understand how I get that. Please please explain this question in as much detail as possible as I cannot understand this topic. Please answer as soon as possible :) =) 卐 Click here to see answer by sudhanshu_kmr(1152)

 Question 464855: How many permutations are there if the letters PNRCSE are taken six at a time? Click here to see answer by stanbon(57282)
 Question 464855: How many permutations are there if the letters PNRCSE are taken six at a time? Click here to see answer by Alan3354(30993)

 Question 464860: 6 people queue up to get on the bus. Is 2 specific person refuse to follow each other, how many ways are possible? Click here to see answer by stanbon(57282)
 Question 464860: 6 people queue up to get on the bus. Is 2 specific person refuse to follow each other, how many ways are possible? Click here to see answer by AlvinWong(1)

 Question 465058: how many ways can a group of 7 choose a committee of 4? Click here to see answer by stanbon(57282)
 Question 465058: how many ways can a group of 7 choose a committee of 4? Click here to see answer by jorel1380(2518)

 Question 465099: How many ways can an IRS auditor select 5 of 10 tax returns for an audit? Click here to see answer by stanbon(57282)

 Question 465100: In a batch of 8,000 clock radios 4% are defective. A sample of 6 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? Click here to see answer by stanbon(57282)
 Question 465100: In a batch of 8,000 clock radios 4% are defective. A sample of 6 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? Click here to see answer by edjones(7569)

 Question 465104: Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. The following table contains data from a study of two airlines which fly to Small Town, USA. # on time # late Poduck airlines 33 6 Upstate Airlines 43 5 If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight Click here to see answer by edjones(7569)

 Question 465776: 1. How many garlands can be made from 6 marigolds and 2 roses? 2. How many ways can a necklace be formed from 2 red and 2 blue beads? Click here to see answer by edjones(7569)

 Question 465954: find the number of "words" with four distinct letters that can be made from the letters c, a, b, i, n, e, t. A) 920 b) 840 c) 860 d) 560 and show me how to do? Thank you very much. Click here to see answer by sudhanshu_kmr(1152)

 Question 466309: In how many ways can a group of 12 choose a committee of 9? Click here to see answer by Edwin McCravy(8893)

 Question 466337: 8. A comittee of 10 women and 9 men is looking to create a 6 person committee. a. how many ways are there of choosing this committee? 19*18*17*16*15*14=19535040 b. How many ways are there of chosing 4 men and 2 women? (i'm confused) c. Whats the probability that it's selected with 4 men and 2 women? (I havent a clue) d. What is the probility that it's selected with 5 women and 1 man? ( i do not know) Please help! Thanks. Click here to see answer by richard1234(5390)
 Question 466337: 8. A comittee of 10 women and 9 men is looking to create a 6 person committee. a. how many ways are there of choosing this committee? 19*18*17*16*15*14=19535040 b. How many ways are there of chosing 4 men and 2 women? (i'm confused) c. Whats the probability that it's selected with 4 men and 2 women? (I havent a clue) d. What is the probility that it's selected with 5 women and 1 man? ( i do not know) Please help! Thanks. Click here to see answer by stanbon(57282)

 Question 466323: how many combinations of numbers can be made from the digits 8824462? thank you. Click here to see answer by sudhanshu_kmr(1152)

 Question 466653: a teacher sets 5 objective type questions out of which 4 have to be answered. find out the total number of ways in which they can be answered if first 2 questions have 4 choices and last 3 have 3 choices. Click here to see answer by rfer(12654)

 Question 466748: Out of 8 persons in a group find tha number of ways of selecting 3 persons and also tha number of way of arranging these 3 selected persons in a row Click here to see answer by kmc0204(4)

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