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JEE MATHEMATICS MCQ: PERMUTATIONS

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The number of ways of arranging mm numbers out of 1,2,3,…,n1,2,3, \ldots, n, so that maximum is (n−2)(n-2) and minimum is 2 (repetitions of numbers is allowed) such that maximum and minimum both occur exactly once (n>5,m>3)(n > 5, m > 3), is
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Correct option: C
m(m−1)(n−5)m−2m(m-1)(n-5)^{m-2}
Option C (m(m−1)(n−5)m−2m(m-1)(n-5)^{m-2}) is correct because it represents the number of ways to arrange mm numbers with the given constraints, considering the positions of the minimum and maximum values and the choices for the remaining numbers.

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