Asked by rickie

In how many ways can a 5 member committee be formed from a group of 40?
a) if there are only 8 that can be a leader, how many different groupings with a leader can be formed?
Answered by Reiny
first part is simply 40 choose 5
= C(40,5) = 658008

b) The leader can be picked in 8 ways, and then we have to choose 4 more from 39
= 8 C(39,4) = 658008

Are you surprised that the answers are the same ?
Answered by j
A group of 4 doctors, 9 teachers, and 11 business leaders are going to form a committee of two. How many different ways can the committee be formed if it doesn't matter what the person's profession is?
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