Question
In how many ways can X give Rs 500 to Y using only Rs 100 and Rs 20 notes, with the condition that she has only 16 notes of Rs 20, and being asked to use the notes of both the denominations?
Answer
The correct Answer is 3 ways.
Explanation
Let’s see in how many ways can x give Rs 500.
Let’s first write down all the possible ways without any constraints.
- 5 x 100 + 0 x 20
- 4 x 100 + 5 x 20
- 3 x 100 + 10 x 20
- 2 x 100 + 15 x 20
- 1 x 100 + 20 x 20
- 0 x 100 + 25 x 20
Cases 1 and 6 are eliminated because we need to use both the denomination
Cases 5 and 6 are eliminated because we only have 16 Rs 20 notes.
So we are left with only Cases 2, 3, 4. Hence correct answer is 3 ways
Conclusion
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