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Question

In how many of the permutations of n things taken r at a time will 5 things (i) always occur, (ii) never occur?

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Solution

(i) Permutations of n different things taken r at a time, when one particular thing always occurs =r.n1Pr1

(ii) Permutation of n different things taken r at a time when a particular thing never occurs =n1Pr

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