Question

Two finite sets have n and m elements. the number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. then the values of m and n are

Answer 1

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=48

2n(2m-n-1)=2^3(2^3-2)

therefore,

n=3 and m-n=2

m=5

Answer 2

Answer:

Step-by-step explanation:

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=48

2n(2m-n-1)=2^3(2^3-2)

therefore,

n=3 and m-n=2

m=5