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
- A16
- B15Correct
- C12
- D8
Explanation
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.
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