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Number of Subset of a Given Set

Let set A = a...

Question

Let set A = {a, b, c, d} and set B = {4, 8, 16, 32). If the total number of relations from A to B is $2^{x}$ find the value of $\frac{(x)}{2}$ ?

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Solution

Total number of relations that can be defined from set A to a set B is the number of possible subset of A × B.

n(A $\times$ B) = 4 × 4 = 16

Total number of relations = $2^{16}$

x = 16
$\frac{(x)}{2}$ = 8

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