Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more than the…

Set A has melements and set B has nelements. 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___.

Solution

2m=2n+112
⇒2m-2n=112
⇒2n·2m-n-1=24·23-1
⇒n=4, m=7

Asked in: JEE Main 2020 (06 Sep Shift 1)

Practice more Sets and Relations questions on Aicharya