Question

8. n(B) = 40, n(
AB) = 20, n(AUB) = 35, find n(A).
(C) 55
(D) 15
(A) 40
(B) 20
121 find
find AB​

Answer 1

$\huge\boxed{\underline{\underline{\green{Solution}}}}$

$n(B) = 40, n(AB) = 20, n(AUB) = 35$

We know that

$n(AUB) = n(A) + n(B) - n(A \cap \: B)$

$\longrightarrow \: 35 = n(A) + 40 - 20$

$\longrightarrow \: n(A) = 35 - 40 + 20$

$\longrightarrow \: n(A) = 15$

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