The number of permutations of n distinct object, taken r at a time,

Question:

The number of permutations of n distinct object, taken r at a time, when repetitions are not allowed, is __________.

Solution:

The number of permutations of n distinct objects, takes r at a time,

Without repetition is

n(n − 1) ( − 2) ......... (n – (r − 1)) 

nPr

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