Let n(U) = 700, n(a) = 200, n(b) = 300 and n(A ∩ B) = 100, …

Maths Fundamental of Mathematics Cardinal Number Problems Numeric Response

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let n(U) = 700, n(a) = 200, n(b) = 300 and n(A ∩ B) = 100, then find n(A' ∩ B')

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The correct answer is:

(300)

Sol. n (A c ∩ B c ) = n[({A ∪ B) c ] = n(U) – n (A ∪ B)

= n(U) – [n(a) + n(b) – n (A ∩ B)] = 700 – [200 + 300 – 100] = 300.

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