Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

If \( n(A)=20 \), \( n(B)=15 \), \( n(A \cap B)=5 \), find \( n(A \cup B) \)?
Options
A 30
Correct Answer
B 35
C 25
D 20
Correct Answer

Option A is the correct answer.

Detailed Explanation

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 20 + 15 - 5 = 30.

Hint

Use inclusion-exclusion: n(A ∪ B) = n(A) + n(B) - n(A ∩ B).

Question Info