Thursday, January 3, 2013

A committe of size five is selected from a group of ten clowns and twelve lion tamers. How many are possible?

what is the best answer to

Question by Sonja: A committe of size five is selected from a group of ten clowns and twelve lion tamers. How many are possible?
A committe of size five is selected from a group of ten clowns and twelve lion tamers.
How many different committees are possible?
How many committees are possible IF there must be exactly two clowns on the committee?
How many committees are possible if lion tamers must outnumber clowns on the committee?


Best answer:

Answer by M3
How many different committees are possible?
22c5 = 26334

How many committees are possible IF there must be exactly two clowns on the committee?
10c2*12c3 = 9900

How many committees are possible if lion tamers must outnumber clowns on the committee?
12c3*10c2 + 12c4*10c1 + 12c5 = 15642



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