Question Detail

MTH 101 Set Theory Objective Question

Question

In a panel of 20 interviewers, 14 said A was suitable, 10 said B was suitable, and 4 said neither. How many said both A and B were suitable?
Options
A 8
Correct Answer
B 6
C 4
D 10
Correct Answer

Option A is the correct answer.

Detailed Explanation

Total who chose at least one = 20 - 4 = 16. Using formula: A + B − both = 16 → 14 + 10 − x = 16 → x = 8.

Hint

Use n(A ∪ B) = n(A) + n(B) − n(A ∩ B).

Question Info