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.
A)48
B)13,860
C)9,979,200
D)12

Question

Quizplus · Accepted Answer

The total number of ways the pitches can be arranged is given by the multinomial coefficient, calculated as the total number of pitches factorial divided by the product of the factorials of each type of pitch. This gives us 12! / (2!6!4!) = 13,860.

A Baseball Pitcher Has Only Three Pitches: a Fast Ball