# Problems with change

A country has bills of denominations of $$1$$, $$2$$, $$5$$, $$10$$, $$20$$ and $$50$$.

We can pay $$30$$ with three bills in exactly two different ways: $$10 +  10 +  10$$, or $$20 +  5 +  5$$.

What value of money can be paid in exactly three different ways with the same number of bills?

Note: Two ways are considered distinct if they use a different set of bills. So $$20 + 5 + 5$$ is the same as $$20 + 5 + 5$$.

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