If X and Y are two sets such that n(X) = 17, n(Y) = 23, n(X ∪ Y) = 38, find n(X ∩ Y).
If X and Y are two sets such that n(X) = 17, n(Y) = 23, n(X ∪ Y) = 38, find n(X ∩ Y).
We have
n(X) = 17
n(Y) = 23
n(X ∪ Y) = 38
By using the formula,
n(X ∪ Y) = n(X) + n(Y) - n(X ∩Y)
We have 38 = 17 + 23 - n(X ∩ Y)
... n(X ∩ Y) = 17 + 23 - 38
... n(X ∩ Y) = 40 - 38
... n(X ∩ Y) = 2
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
B)’, (ii) A’ 
B’, (iii) (A