*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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Given : n(A) = 5, n(A∩B) = 2, n(AUB) = 10
To Find : n(B)
1️⃣ 7
2️⃣ 13
3️⃣ 17
4️⃣ 3
Solution:
n(AUB) = n(A) + n(B) - n(A∩B)
=> 10 = 5 + n(B) - 2
=> 10 = n(B) + 3
=> n(B) = 10 - 3
=> n(B) = 7
Hence n(B) = 7
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