*If n(A) = 5, n(A∩B) = 2, n(AUB) = 10 then n(B) = ?* 1️⃣ 7 2️⃣ 13 3️⃣ 17 4️⃣ 3
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SOLUTION
TO CHOOSE THE CORRECT OPTION
If n(A) = 5, n(A∩B) = 2, n(AUB) = 10 then n(B) =
1️⃣ 7
2️⃣ 13
3️⃣ 17
4️⃣ 3
EVALUATION
Here it is given that
n(A) = 5, n(A∩B) = 2, n(AUB) = 10
Now we know that
n(AUB) = n(A) + n(B) - n(A∩B)
⇒ 10 = 5 + n(B) - 2
⇒ n(B) = 10 - 5 + 2
⇒ n(B) = 7
FINAL ANSWER
Hence the correct option is 1️⃣ 7
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