# 2 person committee

1. Jul 11, 2015

### caters

1. The problem statement, all variables and given/known data
In how many ways can a president and a 2-person committee be chosen from a group of 8 people (where the order in which we choose the 2 people doesn't matter)? (The president cannot be on the committee.)

2. Relevant equations
nCr = n!/(r!*(n-r!))

3. The attempt at a solution
8C1(for president) * 7C2(for committee)
=
8*21
=
168 ways

Did I do it right?

2. Jul 11, 2015

### Staff: Mentor

Correct.

3. Jul 11, 2015

### thelema418

Yes. There are also multiple ways to do this problem. You could have done ${}_8 C_3 \times 3 = 168$.