Find the value of n (An B) if n (A) = 9, n (B) = 11, and n (AUB) = 15. n (An B) = (Type a whole number.)

Question

Beatrice

Mathematics

12 June, 09:18

Find the value of n (An B) if n (A) = 9, n (B) = 11, and n (AUB) = 15. n (An B) = (Type a whole number.)

+5

Answers (1)

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Wesley Mckay · Answer 1

n (A∩B) = 5

Step-by-step explanation:

given,

n (A) = 9

n (B) = 11

n (A U B) = 15

we need to find n (A∩B) = ?

using formula,

n (A U B) = n (A) + n (B) - n (A∩B)

n (A∩B) = n (A) + n (B) - n (A U B)

n (A∩B) = 9 + 11 - 15

n (A∩B) = 5