Question

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Suppose you form 5-letter strings from the letters C,O, M, P, U, T, I, N, and G. What are the number of permutations as a ratio of factorials?
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Answer 1

Using the permutation formula, it is found that it's number as a ratio of factorials is given by:

$N = \frac{9!}{4!}$

The order in which the letters are chosen is important, 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:

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

In this problem, five letters will be chosen from a set of nine, hence:

$N = P_{(9,5)} = \frac{9!}{(9-5)!} = \frac{9!}{4!}$

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