Mistakes Give Rise To Problems-19

Algebra Level 4

We know the following property of exponents that:


but we can't do this in factorials as:


In general, doing this will be a Big Mistake. However, this holds for certain integers \(a\) and \(b.\) For how many ordered pairs of integers \((a,b)\) where \(1≤b≤a≤100\) does this hold?

Try this too.


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