- #1
roam
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Homework Statement
Using the minimal counterexample technique prove that the product of n consecutive positive integers is always divisible by n!
The Attempt at a Solution
Suppose that the statement is not true and the product of n consecutive positive integers is not always divisible by n!...
I'm stuck here. How can I continue this to get a contradiction and thus show that the product of is always divisible by n! ? Any guidance is greatly appreciated.