JEE MAIN - Mathematics (2013 (Offline) - No. 1)
Let A and B be two sets containing 2 elements and
4 elements respectively. The number of subsets of
A $$ \times $$ B having 3 or more elements is :
219
211
256
220
Explanation
A $$ \times $$ B will have 2 $$ \times $$ 4 = 8 elements.
The number of subsets having atleast 3 elements
= 8C3 + 8C4 + 8C5 + 8C6 + 8C7 + 8C8
= 28 – (8C0 + 8C1 + 8C2) = 256 – 1 – 8 – 28 = 219
The number of subsets having atleast 3 elements
= 8C3 + 8C4 + 8C5 + 8C6 + 8C7 + 8C8
= 28 – (8C0 + 8C1 + 8C2) = 256 – 1 – 8 – 28 = 219
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