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.

# 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.

1. A

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

2. B

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

3. C

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

4. D

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

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### Solution:

Let A = {a, b, c, d} $\therefore$ n(A) = 4

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

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

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