Question

Find the value of 11 P 3

Answer 1

When a set of given numbers or items is to be arranged in a definite way or pattern, permutation can be used to determine the number of ways in which this can be done. Thus the required answer to the question is 990.

When a set of given numbers or items is to be arranged in a definite way or pattern, permutation can be used to determine the number of ways in which this can be done. The applicable formula is:

$_{n} P_{r}$ = $\frac{n!}{(n - r)!}$

where: n is the total number of items given, and r is the number of items selected.

Thus the given question can be solved as :

$_{11} P_{3}$ = $\frac{11!}{(11-3)!}$

       = $\frac{11!}{8!}$

       = $\frac{11 * 10 * 9 * 8!}{8!}$

       = 11 x 10 x 9

       = 990

$_{11} P_{3}$ = 990

Therefore, the required answer is 990.

For more clarifications on permutation, visit: brainly.com/question/12468032

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