The number of permulations of n different objects taken K at a time , when repetitions are allowed is

The number of permutation of n different objects, taken r at a line, when repetitions are allowed, is …….. .

The number of permutation of n different objects, taken r at a line, when repetitions are allowed, is …….. .

The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ……

The number of permutations of 'n' different objects taken r at a time, when a particular element always occur in each arrangement, is

The number of permutations of 25 dissimilar things taken more than 15 at a time when repetitions are allowed is (not exceeding 25)

The number of permutations of n different objects taken r(>=3) at a time which include 3 particular objects is

Prove that number of permutations of n distinct objects taken r at a time; when a particular onject is never taken in each a arrrangement is (n-1)P_(r)

Prove that the no.of all permutations of n different objects taken r at a time when a particular object is to be always included in each arrangement is r.(n-1)P_(r-1)

Prove that the no. of all permutations of n different objects taken r at a time when a particular object is to be always included in each arrangement is r.(n-1)P_(r-1)