A 3-member executive committee is to be formed from a 11-member board of directors. In how many ways can it be formed?


6
170
165
33
990

Please explain this to me. thank you

2 answers

11*10*9 = 990
or

11!/(11-3)! = 11!/8!
In the majority of texts the word "committee" usually denotes combinations, that is there is no specific order.
In that case the result would be C(11,3) which is 165
But you titled your post "permutations", so Steve's answer would apply for that interpretation.

Choose your answer after you clear up the wording of the question.