Question

Find the Number of subsets & the number of proper subsets of a set A ={x,y,z,p,q}.​

Answer 1

Given : Set A ={x,y,z,p,q}.​

To Find : Number of  subsets & the number of proper subsets  of   set A

Solution:

Set A ={x,y,z,p,q}.​

n(A) =  5

Number of  subsets = 2⁵ = 32

number of proper subsets  =  2⁵ - 1  =  32 - 1 = 31

Hence Number of  subsets = 32 & the number of proper subsets  = 31  of   set A

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Find the Number of subsets & the number of proper subsets of a set A ={x,y,z,p,q}.​

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Answer 2

Step-by-step explanation:

If a set contains ‘n’ elements, then the number of proper subsets of the set is 2n - 1.

If A = {p, q} the proper subsets of A are [{ }, {p}, {q}]

⇒ Number of proper subsets of A are 3 = 22 - 1 = 4 - 1

In general, number of proper subsets of a given set = 2m - 1, where m is the number of elements..

Hope its help..