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Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?
1. 16
2. 17
3. 18
4. 19

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Correct Answer - Option 3 : 18

Given:

Suppose you have a sufficient amount of rupee currency in three denominations: Rs. 1, Rs. 10 and Rs. 50

Calculation:

⇒ 7 × (1) + 5 × (10) + 1 × (50) = 107

⇒ 7 × (1) + 2 × (50) = 107

⇒ 7 × (1) + 10 × (10) = 107

⇒ 17 × (1) + 9 × (10) = 107

⇒ 17 × (1) + 4 × (10) + 1 × (50) = 107

⇒ 27 × (1) + 8 × (10) = 107

⇒ 27 × (1) + 3 × (10) + 1 × (50) = 107

⇒ 37 × (1) + 2 × (10) + 1 × (50) = 107

⇒ 37 × (1) + 7 × (10) = 107

⇒ 47 × (1) + 1 × (10) + 1 × (50) = 107

⇒ 47 × (1) + 6 × (10) = 107

⇒ 57 × (1) + 1 × (50) = 107

⇒ 57 × (1) + 5 × (10) = 107

⇒ 67 × (1) + 4 × (10) = 107

⇒ 77 × (1) + 3 × (10) = 107

⇒ 87 × (1) + 2 × (10) = 107

⇒ 97 × (1) + 1 × (10) = 107

⇒ 107 × (1) = 107

⇒ The total possible way = 18

∴ The required result will be 18.

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