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Joint Entrance Examination
Mathematics
Permutations and Combinations
Question 228
Question 228 of 278
Medium
MCQ
Let
A
A
A
and
B
B
B
be two sets containing 2 elements and 4 elements respectively. The number of subsets of
A
×
B
A\times B
A
×
B
having 3 or more elements is:
A
256
B
220
C
219
D
211
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Official solution
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
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