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How to make 2 Euros with smaller coins

Puzzling Asked by ThomasL on September 4, 2020

You are given n > 0 of each of the standard denomination Euro coins: 1 ct, 2 ct, 5 ct, 10 ct, 20 ct, 50 ct, 1 Euro, 2 Euro.

What is the smallest n such that it is impossible to select n coins that make exactly 2 Euros?

2 Answers

Correct answer by Paul Panzer on September 4, 2020

To demonstrate that Paul Panzer's accepted numeric answer is correct, here is a list of ways to select the coins.

The format is:
Total coins: (quantity x denomination) + (quantity x denomination) + ...

On each line, the math equals 2.00

Answered by FlanMan on September 4, 2020

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