CEMC Fermat, 2005

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

Starting with the 2 in the centre, the number 2005 can be formed by moving from circle to circle only if the two circles are touching. How many different paths can be followed to form 2005?

(A) $36$ (B) $24$ (C) $12$ (D) $18$ (E) $6$

Figure for this problem

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