Mark the correct alternative in the following: Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively.

Question

Philoid · Accepted Answer

Let A and B be the set which contain m and n elements respectively.

Then n(P(A) )=2^m and n(P(B) )=2ⁿ

Also given that,n(P(A) )=n(P(B) )+112

⇒2^m =2ⁿ +112

Above equation is only true when m=7 and n=4.

Mark the correct alternative in the following:Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively.

Mark the correct alternative in the following:
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively.