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Problem 409

Combinatorics Difficulty 2.0 Find the answer UKMT Junior Mathematical Challenge · United Kingdom · 2017

In the window of Bradley's Bicycle Bazaar there are some unicycles, some bicycles and some tricycles. Laura sees that there are seven saddles in total, thirteen wheels in total and more bicycles than tricycles. How many unicycles are in the window?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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