Question

If n (A-B) = 12. (AUB) = 35 and n (B – A) = 15 then find n(AnB)?
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Answer 1

Answer:

n(AnB) = 8

Step-by-step explanation:

n(B) = n(AUB) - n(A-B)

= 35 - 12

= 23

n(A) = n(AUB) - n(B-A)

= 35 - 15

= 20

Now the formula, n(AUB) = n(A) + n(B) - n(AnB)

35 = 20 + 23 - n(AnB)

n(AnB) = 8

HOPE THIS HELPS YOU.....

Answer 2

Answer: 8

Lets do this with the help of a Venn Diagram (see below)...

Its given to us that A-B is 12. And also B-A = 15. We must find AnB:

Therefore,

(AUB) = (A-B) + (B-A) + (AnB)

∴ (AnB) = (AUB) - (A-B) - (B-A)

            =  35 - 15 - 12

            =  35 - 27

            =  8