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The total number of permutations of n (>1) different things taken not more that r at a time, when
a thing may be repeated any number of times, is

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a
nn−1nr−1
b
nr−1n−1
c
nr+1n+1
d
nr+nn−1

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detailed solution

Correct option is A

When k(1≤k≤r) things are arranged, the number of possible arrangements, when repetition is allowed is n×n×……×n⏟k times =nkThus, the total possible arrangements isn+n2+n3+…+nr=nnr−1n−1


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