Answer: 24.
- A 18
- B 20
- C 24
- D 16
Correct answer: C. 24
Explanation: 360 = 2³ × 3² × 5¹. Each divisor chooses exponent: 0–3 for 2 (4 choices), 0–2 for 3 (3 choices), 0–1 for 5 (2 choices). Total = 4×3×2 = 24.
Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.
Concept context
Counting, arrangements, and selections