If the number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively, then the number of elements that are not in set A and not in set B is given by ___.

Join BYJU'S Learning Program

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

Given n (A × B) = 200 n(A) = 50 Since n(A × B) = n(A) n(B) ⇒ 200 = n(A) n(B) i.e n(B) = 2005 = 4 i.e number of elements of B are 4 i.e number of elements in P(B) = 24

Given n (A × B) = 200
n(A) = 50
Since n(A × B) = n(A) n(B)
⇒ 200 = n(A) n(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