If the number of items in a set A is n(A) = 40. If n(B) = 26 and n(A ? B) = 16 t

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Question
If the number of items in a set A is n(A) = 40. If n(B) = 26 and n(A ? B) = 16 then n(A ? B) is equal to:
Options
A. 30
B. 40
C. 50
D. 60

Correct Answer

50

Explanation

As we know the formula.
n(A ? B ) = n(A) + n(B) ? n(A ? B )
Given in the question,
n(A) = 40;
n(B) = 26;
n(A ? B ) = 16;
Put these value in formula and solve the equation.
n(A ? B ) = n(A) + n(B) ? n(A ? B )= 40 + 26 ? 16 = 50

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