Question

n(A) = 7, n(B) = 9 and n ( A U B) = 14 then n ( A intersection B) * 2 points 6 4 8 2​

Answer 1

Answer:

n(A ∩ B) = 2

Step-by-step explanation:

✨Given✨

⇒n(A) = 7

⇒n(B) = 9

⇒n(A ∪ B) = 14

✨To find✨

n(A ∩ B)

✨Solution✨

→  We know that,

→  n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

⇒ 14 = 7 + 9 - n(A ∩ B)

⇒ n(A ∩ B) = 7 + 9 - 14

⇒ n(A ∩ B) = 16 - 14 = 2

∴n(A ∩ B) = 2

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Hope you Understood!

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