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Q.

If a set A has m-elements and the set B has n-elements, then the number of injections from A to B is

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a

$n_{P_{m}}$ if $n \geq m$

b

0 if $n \geq m$

c

$m .^{n} C_{m}$ if $n \geq m$

d

$^{n} C_{m}$ if $n \geq m$

answer is B.

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Detailed Solution

If the set A has m elements and the set B has n elements, then the number of injections from A to B is $\{\begin{matrix} 0 & , n < m \\ ^{n} P_{m} & , n \geq m \end{matrix}$

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