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It is not possible to make 25 cents from 14 coins (US currency)

There are only 1, 5, 10 and 25 cent coins

Test:

14 x 1c = 14c, insufficient value

13 x 1c (=13) + 1 x 5c (=5) totals 18c, still not enough

12 x 1c (=12) + 2 x 5c (=10) totals 22c, still not enough.

11 x 1c (=11) + 3 x 5c (=15) totals 26c. Too much!

If you use a 10c coin, you have to make the balance of 15c with 13 coins! Not possible!

Of course, if you have 14 coins, which includes 10 x 1c (=10), and 3 x 5c (=15), you will easily make a total of exactly 25c, but only if you don't include the 14th coin!

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14y ago

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