problem 234 mathcounts

Mathematics
Tutor: None Selected Time limit: 1 Day

In the land of Binaria, the currency consists of coins worth 1 cent, 2 cents, 4 cents, 8 cents, 16 cents, 32 cents, and 64 cents. Bina has two of each coin. How many combinations of her coins have a combined value of 50 cents.

Oct 5th, 2014

There are 6 ways this can be done

32 + 16 + 2 = 50

32 + 16 + 1 +1= 50

32 + 8 + 8 + 2  =50

32 + 8 + 8 +1 +1= 50

32 + 8 + 4+ 4 + 2= 50

32 + 8 + 4+ 4 +1 +1= 50

Oct 5th, 2014

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