Set, Relation and FunctionEasy
Question
Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A × B, each having at least three elements is
Options
A.275
B.510
C.219
D.256
Solution
n(A) = 4, n(B) = 2
∴ n(A × B) = 8 hence No. of subsets having at least ′3′ elements is
8C3 + 8C4 + 8C5 + 8C6 + 8C7 + 8C8
= 28 − 37
= 219
∴ n(A × B) = 8 hence No. of subsets having at least ′3′ elements is
8C3 + 8C4 + 8C5 + 8C6 + 8C7 + 8C8
= 28 − 37
= 219
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