Question

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

• A. 30
• B. 2
• C. 32
• D. 23

Answer 1

Answer: (A)

30

Answer 2

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
$=2^{n}-2$
$=2^{5}-2=30$