Two finite sets have m and n elements The total no of subsets of the first set is - Maths - Sets

Question

Two finite sets have m and
n elements The total no of
subsets of the first set is
56 more than the total no of subsets of
the second set Find the values of m and
n
Plz give some simple method
ANURAG

Sushil Kumar · Accepted Answer

let A and B be two sets having m and n numbers of elements
respectively
number of subsets of A=2m
number of subsets of B=2n
according to question
2m-2n=56

2n(2m-n-1)=23(23-1)
therefore,
n=3 and m-n=3
m=6

Two finite sets have m and n elements. The total no. of subsets of the first set is 56 more than the total no. of subsets of the second set. Find the values of m and n. Plz. give some simple method. ANURAG.

Two finite sets have m and n elements. The total no. of subsets of the first set is 56 more than the total no. of subsets of the second set. Find the values of m and n.

Plz. give some simple method.

ANURAG.