If n (A × B) = 200 and n(A) = 50,
Question:

If n (A × B) = 200 and n(A) = 50, then the number of elements in P(B) is _______ .

Solution:

Given n (A × B) = 200

$n(A)=50$

Since n(× B) = n(An(B

⇒ 200 = n(An(B

i.e $n(B)=\frac{200}{5}=4$

i.e  number of elements of B are 4 

i.e  number of elements in P(B) = 24

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