How many different sums can be formed with the denominations ₹ 50, ₹ 100, ₹ 200, ₹ 500 and ₹ 2,000 taking at least three denominations at a time?
A
16
B
15
C
14
D
10
Correct Answer: Option A
Explanation
1. **Analyze the Denominations:** We have {50, 100, 200, 500, 2000}. There are 5 items.
2. **Verify Uniqueness (Mental Check):** Before counting, we must ensure that