Question

If P and Q are two sets such that P ∪ Q has 40 elements, P has 22 elements and Q has 28 elements, how many elements does P ∩ Q have? *


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Answer 1

Answer:

its 22 element which P ∩ Q.

Step-by-step explanation:

because if we take 28 element and 22element then

28-22=06 so there is extra 6 element is present.

according tp your question

Answer 2

we will use the identity:

N(A U B) = N(A) + N(B) - N(A n B)

Let (P n Q) be x

$40 = 22 + 28 - x \\ 40 = 50 - x \\ x = 50 - 40 \\ x = 10$