Question

How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving the other field positions empty)

Answer 1

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the permutation formula is used to solve this question.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

2 players are taken from a set of 25, hence the number of ways is given by:

$P_{(25,2)} = \frac{25!}{23!} = 600$.

More can be learned about the permutation formula at brainly.com/question/25925367

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