Question

 If n(A) = 5, then the number of proper subsets of A is ______​

Answer 1

Step-by-step explanation:

ANSWER

If a set contains n elements, then the total number of subsets will be 2

n

, which also includes the subset ϕ and the set itself.

But the set itself will not be considered as a proper subset

Hence, the total number of proper subsets will be 2

n

−1.

In the above case n=7.

Hence, the total number of proper subsets will be 2

7

−1

Answer 2

Answer:

31

Step-by-step explanation:

n(A) = 5

That means cardinality of set A is 5

n( proper subset of set A) = 2^cardinality -1

= 2^5-1

= 32 -1

= 31