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**cooljackiec****Member**- Registered: 2012-12-13
- Posts: 185

A country has three denominations of coins, worth 7, 10, and 53 units of value. What is the maximum number of units of currency which one cannot have if they are only carrying these three kinds of coins?

I know the formula for 2 denominations, but I don't know how to do one with 3.

I see you have graph paper.

You must be plotting something

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

I am getting but I do not know how to prove that.

*Last edited by anonimnystefy (2014-07-14 05:17:59)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

There is no formula for the a three coin problem but it can computed. 46 is the Frobenius number.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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