A baseball pitcher has only three pitches: a fast ball, a curve ball, and a knuckle ball. As the pitcher warms up before an inni

Question

1 year ago

5

A baseball pitcher has only three pitches: a fast ball, a curve ball, and a knuckle ball. As the pitcher warms up before an inni

ng, 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.

Mathematics

1 answer:

4vir4ik [10] · Answer 1 · 2020-10-27T00:14:04+03:00

4vir4ik [10]1 year ago

4 0

Answer:

13860

Step-by-step 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

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

$=\frac{12!}{2!6!4!}$

$=\frac{12\times 11\times 10\times 9\times 8\times 7}{2\times 24}$

$=11\times 10\times 9\times 2\times 7$

= 13860