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Many-One onto Function

nA = 3, nB = ...

Question

$n (A) = 3, n (B) = 2$ , then the number of surjections from $A$ to $B$ is

3

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6

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8

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9

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Solution

The correct option is A $6$
No of surjections from $A$ to $B$ is no of ways of selecting $2$ numbers from the domain, i.e $A$
and assigning them to numbers in co-domain
i.e $^{3} C_{2} = 6$

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