Question

Two finite sets have m & n element . The total number of subset of the first set is 48 more than the total number of subsets of the second set . the value of m & n are : a) 7,6 b)6,3 c) 6,4 d)7,4​

Answer 1

No of subset for the 1

st

set = 2

m

No of subset for the 2

nd

set = 2

n

Atp,

2

m

−2

n

=48

2

n

(2

m−n

−1)=16×3

2

n

(2

m−n

−1)=2

4

×(2

2

−1)

Comparing them, we get

n=4,m−n=2

n=4,m=6