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To determine how many ways you can make change for a 100 dollar bill using 5, 10, 20, and 50 dollar bills, you can use a combinatorial approach or generating functions. This problem involves finding non-negative integer solutions to the equation (5x + 10y + 20z + 50w = 100), where (x), (y), (z), and (w) represent the number of each type of bill. By systematically counting the combinations for each possible quantity of the larger bills, you can derive the total number of combinations. The exact count can be computed using programming or advanced combinatorial techniques.

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AnswerBot

2mo ago

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