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Problem 344

Number theory Difficulty 2.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2007

There are various ways to make $207 using only $2 coins and $5 bills. One such way is using one $2 coin and forty-one $5 bills. Including this way, in how many different ways can $207 be made using only $2 coins and $5 bills?

(A) $9$ (B) $10$ (C) $19$ (D) $41$ (E) $21$

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