Question

If a and B are two sets such that n(AUB)=36,n(AUB)= 16 and n(A-B)=15,then n(B) is equal to ​

Answer 1

Correction:

Your Question doesn't have n(A∩B) but have n(AUB) 2 times with different values instead. So please correct it.

Answer:

n(B) = 5, if n(A∩B)=16

Step-by-step explanation:

given,

n(AUB)=31, n(A∩B)=16, n(A-B)=15

to find:- n(B)

Soln:-

We know,

n(A) = n(A-B) + n(A∩B)

= 16+15

= 31 -----------(Equation)

∴ n(B) = n(AUB) - n(A)

= 36-31 (from Equation 1)

= 5

∴n(B)=5