# Numbers In a circle

Consider the set: $S={(1,2,3,...,8,9)}$ Can we put all these numbers in a circular arrangement such that the sum of no two adjacent numbers is divisible by $$3,5,7$$?. If you think no such arrangement is possible then enter 0 .If you think 1 arrangement is possible,then enter $$1$$, If you think more than one arrangement is possible , then enter the smallest possible arrangement starting from $$1$$ in Clockwise direction.

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