Question

A committee is to consist of three members. If there are six men and four women available to serve on the committee, how many different committees can be formed?

Answer 1

6*5*4 all men

6*5*4 two men, one woman
6*4*3 one man, two woman
4*3*2 three women

add these up (336)
Is there a simpler way to solve this?

Answer 2

no

Answer 3

.
A dinner menu has 4 different entrees, 4 different sides, and 5 different desserts. How many different dinners consisting of an entree, a side, and a desert can you choose?

Answer 4

336