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?
2 can connect to any 0 in 6 ways.
Every 0 can touch other 0 in 2 ways.
Every zero can connect to 5 in 3 ways.
Total 6×2×3 =36 ways.
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