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

Step-by-step explanation:

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

step-by-step explanation:

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