Question

If n(P U Q) = 29, n(P) = 15, n(P ⋂ Q) = 12, then find n(Q) *​

Answer 1

I have solved the answer in the pic below, hope it helpss!!!!

Answer 2

Step-by-step explanation:

Given:

n(P U Q) = $29$

n(P) = $15$

n(P ⋂ Q) = $12$

To find:

The value of n(Q).

Solution:

As it is known that, n(P U Q) is equal to the sum of n(P), n(Q) and n(P ⋂ Q).

The value of n(Q) can be calculated by this formula.

By putting the given values in the equation, we have:

n(P U Q) = n(P) + n(Q) + n(P ⋂ Q)

$\[\begin{align} & \Rightarrow 29=15+n(Q)-12 \\ & \Rightarrow n(Q)=29-3 \\ & \Rightarrow n(Q)=26 \\ \end{align}\]$$& \Rightarrow 29=15+n(Q)-12 \\ & \Rightarrow n(Q)=29-3 \\ & \Rightarrow n(Q)=26$

Thus, the value of n(Q) is 26.