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Suppose you have sufficient amount of rupee currency in three denominations: ₹1, ₹10 and ₹ 50. In how many different ways can you pay a bill of ₹ 107?
[2019]
- a)16
- b)17
- c)18
- d)19
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Suppose you have sufficient amount of rupee currency in three denomina...
Number of Denominations are shown in the table:
Total number of ways = 1 + 6 + 11 = 18.
Total number of ways = 1 + 6 + 11 = 18.
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Community Answer
Suppose you have sufficient amount of rupee currency in three denomina...
Approach:
To solve this problem, we can use a combination of techniques involving recursion and dynamic programming. We can break down the problem into subproblems by considering different combinations of using 1, 10, and 50 rupee denominations to pay the bill of 107 rupees.
Steps:
Step 1: Define a recursive function that takes the bill amount and the index of the current denomination being considered.
Step 2: Use dynamic programming to store the number of ways to pay each amount using the given denominations.
Step 3: Initialize a 2D array to store the number of ways to pay each amount using each denomination.
Step 4: Use a loop to iterate over all possible combinations of denominations to pay the bill amount.
Step 5: Recursively calculate the number of ways to pay the remaining amount using the remaining denominations.
Step 6: Update the dynamic programming array with the calculated number of ways.
Step 7: Return the number of ways to pay the bill of 107 rupees.
Calculation:
Using the above approach, we can calculate that there are 18 different ways to pay a bill of 107 rupees using 1, 10, and 50 rupee denominations. Therefore, the correct answer is option 'C' (18).
To solve this problem, we can use a combination of techniques involving recursion and dynamic programming. We can break down the problem into subproblems by considering different combinations of using 1, 10, and 50 rupee denominations to pay the bill of 107 rupees.
Steps:
Step 1: Define a recursive function that takes the bill amount and the index of the current denomination being considered.
Step 2: Use dynamic programming to store the number of ways to pay each amount using the given denominations.
Step 3: Initialize a 2D array to store the number of ways to pay each amount using each denomination.
Step 4: Use a loop to iterate over all possible combinations of denominations to pay the bill amount.
Step 5: Recursively calculate the number of ways to pay the remaining amount using the remaining denominations.
Step 6: Update the dynamic programming array with the calculated number of ways.
Step 7: Return the number of ways to pay the bill of 107 rupees.
Calculation:
Using the above approach, we can calculate that there are 18 different ways to pay a bill of 107 rupees using 1, 10, and 50 rupee denominations. Therefore, the correct answer is option 'C' (18).
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Suppose you have sufficient amount of rupee currency in three denominations: 1, 10 and 50. In how many different ways can you pay a bill of 107?[2019]a)16b)17c)18d)19Correct answer is option 'C'. Can you explain this answer?
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