Question

If A and B are two finite sets such that n[P(A)] = n[P(B)] + 992 , n(A) + n(B) is:​

Answer 1

Answer:

n(A) + n(B) = 15

Step-by-step explanation:

n[p(A)]=n[p(B)] + 992

n[p(A)] - n[p(B)] = 992

we know formula that

n[p(A)] = 2^n

n[p(B)] =2^m

so,

2^n - 2^m = 992

By trial and error method

we get , 2¹⁰-2⁵=992

so,

n=10

m=5

=> n+m=15

which implies

n(A) + n(B) = 15

hope it helps you ☺️☺️