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The number of permutations of n different objects taken r at a time, where repetition is allowed is _______________

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The number of permutations of n different objects taken r at a time, where repetition is allowed is _______________

(a) n!

(b) r!

(c) ^nPr

(d) n^r

The question was asked in semester exam.

This interesting question is from Permutations-1 in portion Permutations and Combinations of Mathematics – Class 11

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Best answer
Right answer is (d) n^r

The best explanation: The number of permutations of n different objects taken r at a time, where repetition is allowed is n*n*n*n*n……………. r times = n^r.

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