# Fuzzy'ss....

A three digit number,written in the form $$abc$$ ,is called fuzzy if $$abc$$ is divisible by 7,the two digit number $$bc$$ is divisible by 6,the digit $$c$$ is divisible by 5,and the three digits a,b and c are all different.How many fuzzy numbers are there?

This problem was taken from Australian Mathematics Competition 2014