# 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 236673: In how many ways can a president, vice president and secretary be chosen from a class of 30 students"? Click here to see answer by stanbon(57415)

 Question 236655: how many different 4 digit numbers can be created if no digit can be repeated? Remember a number cannot begin with 0 Click here to see answer by checkley77(12569)

 Question 236899: Prove that there must be at least 2 students at a college with the same last four digits of a social security number So far, I've tried reasoning that there are 10 possible digits, and i have to choose 4 of them, so it would be a combination/permutation of 10 choose 4. (i'm not sure which one it is though) and where do I go from there Click here to see answer by scott8148(6628)
 Question 236899: Prove that there must be at least 2 students at a college with the same last four digits of a social security number So far, I've tried reasoning that there are 10 possible digits, and i have to choose 4 of them, so it would be a combination/permutation of 10 choose 4. (i'm not sure which one it is though) and where do I go from there Click here to see answer by edjones(7569)

 Question 237221: A vase contains 7 red and 3 blue marbles. 3 marbles are drawn at random without replacement. Find the probability of drawing the first 2 as red and the third marble as blue Click here to see answer by rapaljer(4667)

 Question 237249: Each child in a family has at least 2 brothers and 2 sisters. What is the smallest number of children the family might have? Click here to see answer by Theo(3472)

 Question 237643: k= 1!+ 2! +3!.......+n! what is the no. of values of n for which k is a perfect square Click here to see answer by Edwin McCravy(8920)

 Question 238443: hey im kushal and i need to find all the combinations of 6 numbers that are obtained from 1 to 40 only. please reply me as some as possible before 14 nov 2009- 17:00 Click here to see answer by Theo(3472)

 Question 238688: How many ways can 1 apple, 1 orange, and 1 peach be selected from 5 apples, 9 oranges, and 4 peaches? Click here to see answer by checkley77(12569)

 Question 239964: ann has 7 books she wants to put on her bookshelf how many posible arrangments are there? Click here to see answer by solver91311(16897)

 Question 240193: how many three person teams can be chosen from a group of five people? Click here to see answer by edjones(7569)

 Question 241104: an octagon has 8 sides. How many diagnals does an octagon have?? my answer is 28 diagnals. Click here to see answer by edjones(7569)

 Question 241278: You order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability that at least two have hot peppers. (Round the answer to three decimal places.) My mother told me 0.36 but my teacher said it was wrong. Could you please help me. Click here to see answer by Theo(3472)

 Question 240369: how many ways can you arrange the word equal Click here to see answer by Alan3354(30993)

 Question 241523: A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit). (Note that the Ace counts either as a 1 or as the denomination above King.) Click here to see answer by stanbon(57415)

 Question 241589: Will we ever run out of combinations of numbers for Social Security? Click here to see answer by Alan3354(30993)

 Question 242112: how many different license plates are possible using 2 letters followed by 3 digits if letters can be repeated? Click here to see answer by blwinbbbles(106)

 Question 242367: There are 10 boys and 15 girls. How many different gruops of 4 boys and 3 girls can you have? I just would like to know how to solve this problem Click here to see answer by edjones(7569)

 Question 242559: ho wmany ways can the letters of the word ABACUS be rearranged? Click here to see answer by munimh(3)

 Question 242763: A lottery has 52 numbers. In how many different ways can six of the numbers be selected? (Assume that order of selection is not important.) what principle is used in this question? Click here to see answer by user_dude2008(1861)

 Question 242997: How many zip codes (5 digits) would there be if the first two digits had to be odd, and there would be no repeat digits? Click here to see answer by Alan3354(30993)

 Question 243101: I am having a dinner party with five fuests. I have 11 friends from which to choose as guests. From how many different collections of five dinner guests can i choose if two are married to eachother and won't come seperatly? From how many different collections of five dinner guests may she choose if two are divorced from eachother and refuse to come together? Click here to see answer by stanbon(57415)

 Question 243684: Question: Use a tree diagram showing all possible results when four fair coins are tossed. Then list the ways of getting the indicated result of more than two tails. Hi! I could use a hand, please, on the question above on my homework. I have been working with a tree diagram and I keep getting VERY confused. One coin is easy, when I get to 4 - forget it! Thank you so very much!! Click here to see answer by jim_thompson5910(28598)

 Question 244491: How do you solve for a when (a-3)squared = 5-10a? Click here to see answer by checkley77(12569)

 Question 244908: What is the probability that an integer between 1 and 50 inclusive is divisible by 3 or 4? Do this problem without enumerating all the numbers. Click here to see answer by Fombitz(13828)

 Question 245890: A class contains 13 boys and 15girls .how many different ways can the class pick a president,vice-president and secretary? Click here to see answer by solver91311(16897)

 Question 245966: Can you please tell me if I have this right? If not, can you please explain... Thanks sooo much! Assume a class has 30 members. How many committees of three people can be chosen? I have: 30*29/3=290 Click here to see answer by stanbon(57415)
 Question 245966: Can you please tell me if I have this right? If not, can you please explain... Thanks sooo much! Assume a class has 30 members. How many committees of three people can be chosen? I have: 30*29/3=290 Click here to see answer by Alan3354(30993)

 Question 246869: A test consists of 13 questions. Each student must choose a group of 10 questions. How many different groups of questions could be chosen. Click here to see answer by Edwin McCravy(8920)

 Question 247083: How many different 5-digit codes can be made using the numbers 0-9 if repitition is permitted? Click here to see answer by edjones(7569)

 Question 246637: Given set A={a,b,c,d}, how many different 2-letter arrangements of A are there? Click here to see answer by edjones(7569)

 Question 247357: In the past, a local telephone number in the U.S. consisted of a sequence of two letters followed by five digits. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure) so that each telephone number corresponded to a sequence of 7 digits. How many different sequences of 7 digits were possible? Click here to see answer by stanbon(57415)

 Question 248855: how many ways can a committee of 3 men and 3 women be formed from a group of 9 men and women Click here to see answer by oberobic(2304)

 Question 248211: How many different license plates are possible with two letters followed by three digits? Click here to see answer by richwmiller(9143)

 Question 249532: a group of 6 men and 4 women.... three people are selected to attend a conference. in how man ways can group of 3 women be selected from the 4 if all groups are equally likely to be selected whats the probability that the group will conisist of all women Click here to see answer by stanbon(57415)

 Question 246478: Ok so: There are 15 questions on a multiple-choice exam and five possible answers to each question. (a) In how many ways can the exam be answered? (I put 5^15 is that correct? Since the questions are all distinct, and any number of questions could be answered for example a out of a,b,c,d,e.) (b) In how many ways can the exam be answered with exactly 8 answers correct? (Is this 5^7?) Thanks Click here to see answer by richwmiller(9143)

 Question 249759: How many 4-digit numbers can be formed from the Set A = (0,1,2,3,4,5,6) if there is no repetition. My answer is n=6*6*5*4 = 720 4-DIGIT numbers can be formed. How many of the numbers in part a are divisible by 5? (You must consider 2 cases.) My answer is 720/5=144 what is the 2 cases I should be looking at? Pls help Click here to see answer by Edwin McCravy(8920)

 Question 249766: A pharmacist uses 5 seperate weights. 1G, 2G,4G,8G,16G. If the pharmacist can combine these weights to create new weights, how many different weights are possible? Click here to see answer by Alan3354(30993)

 Question 249916: find the first five terms in the expansion of (r-2s)^8 My answer. 1r^8, 8r^7(-2s)^1, 28r^6(-2s)^2, 56r^5(-2s)^3, 70r^4(-2s)^4 Click here to see answer by stanbon(57415)

 Question 249997: What is the probability that both Barb and Bob are both on the same committee of 4 which is chosen fom their class of 10 people? Click here to see answer by edjones(7569)

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