Question

6. If n(P (A)) = 1024, n(AUB) = 15 and n(P (B)) = 32, the
7. If n(An B) = 3 and n(AUB) = 10, then find n(P (AAB))
8. For a set A, AX A contains 16 elements and two of its elen​

Answer 1

Answer:

6. Given that

n(p(A)) = 2 power n

so 1024 = 2 power 10

n(A) = 10

n(p(B)) = 2 power n

so 32 = 2 power 5

n(B) = 5

n(A U B ) = 15

formula:

n(A n B) = n(A) + n(B) - n(A U B)

n(A n B) = 10 + 5 - 15

n(A n B) = 15 - 15

n(A n B) = 0