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Question

The number of permutations of n dissimilar things taken not more than ‘r’ at a time, when each thing may occur any number of times is


A
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B
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C
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D
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Solution

The correct options are
A
D
Given, not more than r things can be taken.
The number of ways to choose and order 1 item is n.
The number of ways to choose and order 2 items is n×n=n2.
similarly, the number of ways r items can be chosen and ordered is nr
The number of permutations of n dissimilar things
n+n2++nr=n(nr1)n1

Mathematics

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