Question

If P and Q are two sets such that P U Q has 40 elements,P has 22 elements and Q has 28 elements,how many elements does P intersection Q have

Answer 1

10 elements together

Answer 2

`\boxed{10 elements}`

Explanation:

`n(P) = 22`

`n(Q) = 28\\`

n(P∪Q) = 40

Using Formula

n(P∪Q)=n(P)+n(Q)−n(P∩Q)

For, n(P∩Q), it becomes

=> n(P∩Q)=n(P)+n(Q)−n(P∪Q)

So,

=> n(P∩Q) = 22+28-40

=> n(P∩Q) = 50-40

=> n(P∩Q) = 10 elements