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In the following questions. a statement of assertion (Staternent-1) Is followed by a statement of reason (Statement-2). Mark the correct choice as :
Statement-1 : The number of non-empty subsets of the set {a, b, c, d) are 15.
Statement-2 : Number of non-empty subsets of a set having n elements are 2ⁿ -1.

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If both Statement- 1 and Statement- 2 are true and Statement- 2 is the correct explanation of Statement- 1.

If both Statement- 1 and Statement- 2are true and Statement- 2 is not the correct explanation of Statement- 1.

If Statement-1 is true but Statement- 2 is false.

If Statement-1 is false but Statement- 2 is true.

answer is A.

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Detailed Solution

Let A = {a, b, c, d} $∴$ n(A) = 4

$∴$ Number of subsets of A = 2⁴ = 16, out of which only one set is empty set because empty set is subset of every set.

$∴$ Number of non-empty subsets of A = 2⁴ - 1 = 15.

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