52.
The answer is: B
Explanation
Let's break it down step by step in simple terms:
Person X has four different notes: ₹1, ₹2, ₹5, and ₹10.
To find how many different sums of money can be formed, we look at all possible combinations:
- Using no notes → ₹0 (but we don't count this).
- Using one note at a time → ₹1, ₹2, ₹5, ₹10 (4 sums).
- Using two notes at a time → ₹1+₹2=₹3, ₹1+₹5=₹6, ₹1+₹10=₹11, ₹2+₹5=₹7, ₹2+₹10=₹12, ₹5+₹10=₹15 (6 sums).
- Using three notes at a time → ₹1+₹2+₹5=₹8, ₹1+₹2+₹10=₹13, ₹1+₹5+₹10=₹16, ₹2+₹5+₹10=₹17 (4 sums).
- Using all four notes together → ₹1+₹2+₹5+₹10=₹18 (1 sum).
Total different sums = 4 + 6 + 4 + 1 = 15.
Correct option: B: 15.