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 aa and b.b. For how many ordered pairs of integers (a,b)(a,b) where 1ba1001≤b≤a≤100 does this hold?

Try this too.


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