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

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Question 235778: how many ways can a jury of 4 men and 4 women be selected from twelve men and ten women?
Click here to see answer by nyc_function(260) About Me 

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(26297) About Me 

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(7072) About Me 

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(3385) About Me 
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(3299) About Me 

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(3625) About Me 

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(675) About Me 

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(2922) About Me 

Question 237905: 140!
Click here to see answer by Alan3354(6097) About Me 

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(675) About Me 

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(7072) About Me 

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(5072) About Me 

Question 240193: how many three person teams can be chosen from a group of five people?
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Question 240223: How many five-letter passwords can be made if no letters are repeated?
Click here to see answer by solver91311(5072) About Me 

Question 241099: (n+2)!/n!=56
where n=N
my answer: n= 7

Click here to see answer by vleith(1977) About Me 

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(3299) About Me 

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(675) About Me 

Question 240369: how many ways can you arrange the word equal

Click here to see answer by Alan3354(6097) About Me 

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.)

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Question 241520:
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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