Question

A baseball pitcher has only three pitches: a fast ball, a curve ball, and a knuckle ball. As the pitcher warms up before an inning, she wants to throw a fast ball 2 times, a curve ball 6 times, and a knuckle ball 4 times. How many different ways can this be done.

Answer 1

13860

Explanation:

Given,

There are three pitches, a fast ball, a curve ball, and a knuckle ball,

If she wants to throw a fast ball 2 times, a curve ball 6 times, and a knuckle ball 4 times.

Then the total number of ways

`=\frac{\text{(Total times of each ball)!}}{\text{(number of times of fast ball)!(number of times of curve ball)!(number of times of knuckle ball)!}}`

`=(12!)/(2!6!4!)`

`=(12* 11* 10* 9* 8* 7)/(2* 24)`

`=11* 10* 9* 2* 7`

= 13860