Question 38
Let X and Y be two sets containing 4 and 2 elements respectively. Then the number of subsets of the sets of the set Y $$\times$$ X, is
Solution
Number of elements in $$Y\ \times\ X\ =\ 2\times\ 4\ =\ 8$$
Number of subsets of a set with n elements = $$2^n$$.
Number of subsets of $$Y\ \times\ X\ =\ 2^8=256$$.
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