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AP EAMCET · Maths · Permutation Combination

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

  1. A n(nn-1)n-1
  2. B nr-1n-1
  3. C n(nr-1)n-1
  4. D None of these
Verified Solution

Answer & Solution

Correct Answer

(C) n(nr-1)n-1

Step-by-step Solution

Detailed explanation

When we arrange one things at a time, the number of possible permutations is n. When we arrange them two at a time the number of possible permutations are n×n=n2 and so on. Thus, the total number of permutations are n+n2+....+nr=n(nr-1)n-1 (∵n>1)