Question

5. The coach of the Morton Valley Softball Team has 6 good hitters and 8 poor hitters. He chooses 3 hitters at random.
(a) In how many ways can he choose 2 good hitters and 1 poor hitter?
(b) In how many ways can he choose 3 good hitters?
(c) In how many ways can he choose at least 2 good hitters?

Answer 1

hi,
a) 120
b) 20
c) 140

Answer 2

\[\frac{ 6! }{ 2!*4! } *\frac{ 8! }{ 7!*1! } = 120\]

Answer 3

\[\frac{ 6! }{ 3!*3! } = 20\]
this solution for b)