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  4. If A = x | x ∈ N, x le 5 B = x | x ∈ Z, x2 - 5x + 6 = 0 then the number of onto functions from A to B is

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Q. If $A = \{ x | x \in N, x \le 5 \}, B = \{ x | x \in Z, x^2 - 5x + 6 = 0\}$, then the number of onto functions from A to B is

KCETKCET 2019Relations and Functions - Part 2

Solution:

$A=\left\{1,2,3,4,5\right\}$
$B=\left\{2,3\right\}$
number of onto functions from a set to a set containing 2 elements is
$=2^{n}-2$
$=2^{5}-2=30$