Question

Two finite sets have m and n elements. The total number of subsets of first set is 56 more than

the total number of subsets of the second set. Find the values of m and n.
plz donot reply rubbish...​

Answer 1

Two finite sets have m and n elements. The total number of subsets of first set is 56 more than

the total number of subsets of the second set. Find the values of m and n.

plz donot reply rubbish...

Answer 2

Answer:

Let A has m elements

Let B has n elements

Total number of students of A=2m

Total number of students of B=2n

It is given ⇒2m−2n=56

2n(2m−n−1)=56

⇒2n=even and 2m−n−1=0 odd

Now,

56=8×7=23×27

⇒2n(2m−n−1)=23×7

⇒n=3

Now, 8(2m−3−1)=8×7

⇒2m−3−1=7

⇒2m−3=8=23

⇒m−3=3

⇒m=6.