Question

If P and Q are two sets where n(P∪Q) = 13, n(P∩Q) = 6, and n(P) = 9, what is the value of n(Q)?\

Answer 1

To find n(Q), use the formula n(P∪Q) = n(P) + n(Q) - n(P∩Q).

Step-by-step explanation:

To find the value of n(Q), we can use the formula:

n(P∪Q) = n(P) + n(Q) - n(P∩Q)

Substituting the given values:

13 = 9 + n(Q) - 6

Simplifying the equation, we have:

n(Q) = 13 - 9 + 6

n(Q) = 10

Therefore, the value of n(Q) is 10.