Question

If n(A∪B) = 47, n(A) = 30, n(B) = 22; find n(onlyB).​

Answer 1

Answer:

n(only B)= 17

Step-by-step explanation: Mark me s brainliest.

n(A∪B) = 47

n(A) = 30

n(B) = 22

n(A ∩ B)=X(LET)

NOW,

n(A U B)= n(A) +n(B)-n(A ∩ B)

OR,47=30+22-X

OR,47=52-X

OR,X=52-47

OR,X=5

∴n(A ∩ B)=X=5

ALSO,

n(only B)= n(B)-n(A ∩ B)

                =22-5

                 =17

∴n(only B)=17