If A = {1, 2, 3} and B = {x, y},

Question:

If A = {1, 2, 3} and B = {xy}, then the number of functions that can be defined from A into B is

(a) 12

(b) 8

(c) 6

(d) 3

Solution:

(b) 8

Given:

Number of elements in set A = 3

Number of elements in set B = 2

Therefore, the number of functions that can be defined from A into B is = 23 = 8.

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