A person X has four notes of Rupee 1, 2, 5 and 10 denomination. The number of different sums of money she can form from them is

To find the number of different sums of money person X can form, we need to consider all possible combinations of the four notes. The person has 4 distinct notes: 1, 2, 5, and 10 rupees. For each note, there are two possibilities: either the note is included in the sum or it is not included. Since there are 4 notes, the total number of combinations is 2 raised to the power of 4, which equals 16. However, these 16 combinations include the case where none of the notes are selected, resulting in a sum of zero. Because a sum of money must involve at least one note, we subtract this one empty case. Calculation: 16 minus 1 equals 15. Since all the denominations are such that every combination produces a unique total, there are exactly 15 different sums of money possible. Therefore, the correct option is B.