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Assuming that you are referring to US Coins, it does not seem to be possible, even if obsolete denominations are allowed, to use five different denominations of coins to make exactly 50 cents. I am not aware of any other countries that use "cents" that would allow you to do so either. However, in Czarist Russia, and in the Soviet Union, there were coins in the denominations (among others) of 2, 3, 10, 15 and 20 kopeks, the total of which 5 coins would be 50 kopeks.

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Q: If you had to make 50 cents with five coins and they all had to be different amounts what coins would you use?
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