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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

1)

21x21x5x5x5x5

Is there a way to do this via combinations?

2a) C(22,2) * C(2,2)

b) C(22,3) * C(2,1)

These are probably horribly wrong, but I am trying. Any help would be appreciated!

**1. The problem statement, all variables and given/known**## Homework Statement

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

## Homework Equations

## The Attempt at a Solution

1)

21x21x5x5x5x5

Is there a way to do this via combinations?

2a) C(22,2) * C(2,2)

b) C(22,3) * C(2,1)

These are probably horribly wrong, but I am trying. Any help would be appreciated!