1)How many six letter subsets can you make if 2 are consonants and 4 are vowels.

2) There are 22 students in the student council and 4 people are to be elected. How many ways can they be elected if:

a) there must be a vice president and president

b) vice president is excluded

Attempt:

1) No idea. The way I did it seemed to be for permutations. 21x21x5x5x5x5

2a) (22,1) * (21,1) * (20,2)

22 people, 1 president , then there's 21. Choose a vice president. Now 20, and 2 people lef.t

b) (22,1) * (21,3)