First slide

Introduction to sets

Question

Set A has m elements and Set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m n is .

Easy

Solution

It is given that n(A) = m and n(B) = n and 2^m = 2ⁿ+112.
$2^{m} - 2^{n} = 112 \Rightarrow m = 7, n = 4$
[number of subsets of set A and B are 2^m and 2ⁿ representatives]

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App