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:
[tex]_{n} P_{r}[/tex] = [tex]\frac{n!}{(n - r)!}[/tex]
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 :
[tex]_{11} P_{3}[/tex] = [tex]\frac{11!}{(11-3)!}[/tex]
= [tex]\frac{11!}{8!}[/tex]
= [tex]\frac{11 * 10 * 9 * 8!}{8!}[/tex]
= 11 x 10 x 9
= 990
[tex]_{11} P_{3}[/tex] = 990
Therefore, the required answer is 990.
For more clarifications on permutation, visit: https://brainly.com/question/12468032
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