Question

If a set A has 31 elements in its proper subset then the number of elements in set A is

Answer 1

Solution:

It is given that ,

Number of proper subsets of set A = 31

$2^{n} - 1=31$

=> 2ⁿ = 31+1

=> 2ⁿ = 32

$\implies 2^{n} = 2^{5}$

=> n = 5

Therefore,

Number of elements in set A = 5

•••

Answer 2

Answer:

number of elements in set A ≥ 32

Step-by-step explanation:

If a set A has 31 elements in its proper subset then the number of elements in set A is

A proper subset of a set A is a subset of A that is not equal to A.

In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B

=>  the number of elements in set A = 31 +

Minimum number of elements in set A = 32

number of elements in set A ≥ 32