SOLUTION: There are 13 members on a board of directors. If they must form a subcommittee of 4 members, how many different subcommittees are possible? A) 24 B) 715 C) 17,160 D) 28,5

Algebra ->  Probability-and-statistics -> SOLUTION: There are 13 members on a board of directors. If they must form a subcommittee of 4 members, how many different subcommittees are possible? A) 24 B) 715 C) 17,160 D) 28,5      Log On


   

Question 1032734: There are 13 members on a board of directors. If they must form a subcommittee of 4 members,
how many different subcommittees are possible?
A) 24
B) 715
C) 17,160
D) 28,561
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There are 13 members on a board of directors. If they must form a subcommittee of 4 members,
how many different subcommittees are possible?
------------
The 1st is 1 of 13.
Then 1 of 12, 11 & 10
--> 13*12*11*10
----
But choosing A, B, C & D is the same as B, D, A & C
--> 4*3*2*1 ways of choosing any 4 = 24.
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13*12*11*10/24 = 715