Sum up to two hundred

I have three $50 bills, ten $20 bills and five $10 bills in my wallet. How many different ways are there for me to pay an invoice of $200 using exactly ten bills?

3 1 2 4

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1 solution

Chrishan Silva
Aug 25, 2014

There are three possible combinations to sum up $200 using ten bills. To understand the combinations easier, $ sign will be omitted.

200 = ( 20 10 ) 200=(20*10)

200 = ( 50 1 ) + ( 20 6 ) + ( 10 3 ) 200=(50*1)+(20*6)+(10*3)

200 = ( 50 2 ) + ( 20 2 ) + ( 10 6 ) 200=(50*2)+(20*2)+(10*6)

As I have only five $10 bills, the third method should be omitted. Therefore the answer is 2.

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