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JAMB Mathematics 2022 Paper

Question : 37

Total: 39

If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

Solution:

Concept:

Use the set union formula:

n(P \cup Q) = n(P) + n(Q) - n(P \cap Q)

Explanation:

Substitute the given values into the formula.

40 = 20 + 30 - n(P \cap Q)

Simplify the right side:

40 = 50 - n(P \cap Q)

Rearrange to find the intersection:

n(P \cap Q) = 50 - 40

Therefore,

n(P \cap Q) = 10

Answer:

n(P \cap Q) = 10

, which is option A.

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