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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
- a)219
- b)256
- c)275
- d)510
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Let A and B be two sets containing four and two elements respectively....
n(A) = 4, n(B) = 2
n(A × B) = 8
Required numbers = 8C3 + 8C4 + ...... + 8C8
= 28 – (8C0 + 8C1 + 8C2)
= 256 – 37
= 219
n(A × B) = 8
Required numbers = 8C3 + 8C4 + ...... + 8C8
= 28 – (8C0 + 8C1 + 8C2)
= 256 – 37
= 219
Most Upvoted Answer
Let A and B be two sets containing four and two elements respectively....
219
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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 isa)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer?
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