1.

If n(A) =35 , n(AUB) =65 n(ANB)=10 then n(B)=?​

Answer»

Hence, \:\:\:\:\:\:\: \:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\: \:\:\:\:\:\:\: \:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \boxed{n(A∪B)=n(A) +n(B)-n(A∩B)} \\ \\ ∴65 = 35 +n(B) - 10\\ \\ ∴65 + 10= 35 + n(B) \\ \\ ∴75 = 35 +n(B) \\ \\ ∴ 75 - 35= n(B)\\ \\ ∴ 40= n(B) \\ \\ ∴ \green{\boxed{ n(B) = 40}}


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