Let $$a_{1}, a_{2}.........a_{7}$$ be arbitrary different positive integers taking one value at a time from 1,2,........7. The number $$(a_{1}-1) (a_{2}-2)......(a_{7}-7)$$
If $$a_{1}, a_{2}.........a_{7}$$ are different positive integers taking one value at a time from 1,2,........7. The number $$(a_{1}-1) (a_{2}-2)......(a_{7}-7)$$ will always be zero as one of the numbers will be equal to 1, 2, 3.... 7.
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