Question

1. If n (A) = 24, n (B) = 26 and n(AUB)=36 then find n(A n B).​

Answer 1

Step-by-step explanation:

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Answer 2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\sf{n (A) = 24, } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ n (B) = 26 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{n(AUB)=36 }$

$\: \: \: \:\: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\sf{ n(A ∩ B) = ? }$

$\: \: \: \: \: \sf{we \: know \: }$

$\sf{n(AUB)= \sf{n (A) + \: n (B) } - \sf {n(A ∩ B) }}$

$\sf{=»\: \: \: \: 36 = 24 + 26 \: - n(A ∩ B)}$

${=» \: \: \: \: \: \: \: \: \boxed{ \sf{\: \: \: \: \: n(A ∩ B) = 14}}}$