Question

In the Venn diagram, n(P) = 5, n(Q)= 9
and n(PU Q)= 10.

What is n(Qn P)?

(A)1
(B)4
(C)5
(D)9

​

Answer 1

Answer:

(D)9

Step-by-step explanation:

Given:

n(P)=5

n(Q)=9

n(P∪Q)=10

Formula: n(X∪Y)=n(X)+n(Y)-n(X∩Y)

⇒n(P∪Y)=n(P)+n(Q)-n(P∩Q)

Substitute the given values

⇒10=5+9-n(P∩Q)

⇒10-19=-n(P∩Q)

⇒n(P∩Q)=9

The value of n(P∩Q) is 9.