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Let A = {x, y, z} and B = {1,2}. Find the number of functions that can be defined from set A to set B. |
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Answer» Given A = {x, y, z} & B = {1, 2} Number of relations from A to B = 2Number of elements in A x B = 2Number of elements in set A x Number of elements in set B = 2n(A) x n(B) Number of elements in set A = 3 Number of elements in set B = 2 Number of relations from A to B = 2n(A) x n(B) = 23x2 = 26 = 2 x 2 x 2 x 2 x 2 x 2 = 64 |
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