Asked by Meredith Grey
A group of 15 of your friends wants to go to a concert. Unfortunately, you only have 10 tickets available to give to your friends. How many different groups of friends could you take to the concert?
Answers
Answered by
Damon
combinations of 15 ten at a time
n = 15
r = 10
C(n,r) = n!/[ r!(n-r)! ]
= 15! /[ 10! (5!) ]
= 15*14*13*12*11 /(5*4*3*2)
= 15/15 * 14/2 * 13 * 12/4 * 11
= 7 * 13 * 3 * 11
= 3003
n = 15
r = 10
C(n,r) = n!/[ r!(n-r)! ]
= 15! /[ 10! (5!) ]
= 15*14*13*12*11 /(5*4*3*2)
= 15/15 * 14/2 * 13 * 12/4 * 11
= 7 * 13 * 3 * 11
= 3003
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