SOLUTION: I could use your help with this problem: Please show all work. (a) The steering committee of Green Solutions consists of 3 committee members. 15 people are interested in ser

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Question 1052849: I could use your help with this problem:
Please show all work.
(a) The steering committee of Green Solutions consists of 3 committee members. 15 people are interested in serving in the committee. How many different ways can the committee be selected?
(b) A bike courier needs to make deliveries at 6 different locations. How many different routes can he take?
Thank you for your help!

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
nCr = n!/[r!(n-r)!]
15C3 = 15!/[3!(15-3)!]
= 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1/[3*2*1*12*11*10*9*8*7*6*5*4*3*2*1
simplify:
15*14*13/[3*2*1] = 455 different ways the committee can be selected.
:
I don't understand b, I don't know how many ways there are to get to each of the 6 locations.
:
John

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