Question

Tow finite sets have m and n elements. The number of elements in the power set of first set is 48 more then the total number of elements in the power set of the second set. Then, the values of m and n are

Answer 1

Answer:

Power set of set 1 is, P(set 1)=2

m

Power set of set 2 is, P(set 2)=2

n

By given condition,

2

m

=48+2

n

∴2

m

−2

n

=48

∴2

m

−2

n

=64−16

∴2

m

−2

n

=2

6

−2

4

∴m=6 and n=4.