The numbers of permutations of n things taken | vedclass

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(c) Since number of selections are $^{n - p}{C_{r - p}}.$ Therefore the arrangement of $r$ things can be done in $r$ ! ways. Hence the total permutati

Vedclass · Accepted Answer

$^{n - p}{C_{r - p}}\;r\;!$

Vedclass · Answer

(c) Since number of selections are $^{n - p}{C_{r - p}}.$ Therefore the arrangement of $r$ things can be done in $r$ ! ways. Hence the total permutations are $^{n - p}{C_{r - p}}\,r\,!$

The numbers of permutations of $n$ things taken $r$ at a time, when $p$ things are always included, is

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