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Where is Factorial Used? 

One zone they are utilized is in Combinations and Permutations. We had a model above, and here is a somewhat extraordinary model: 

first, second and third 

Model: what number various ways would 7 be able to individuals come first, second and third? 

The rundown is very long, in the event that the 7 individuals are called a,b,c,d,e,f and g, at that point the rundown incorporates: 

abc, abd, abe, abf, abg, acb, acd, pro, acf, ... and so on 

The equation is 7!(7−3)! = 7!4! 

Let us compose the increases out in full: 

7 × 6 × 5 × 4 × 3 × 2 × 14 × 3 × 2 × 1 = 7 × 6 × 5 

That was slick. The 4 × 3 × 2 × 1 "counteracted", leaving just 7 × 6 × 5. Furthermore, 

7 × 6 × 5 = 210 

So there are 210 unique ways that 7 individuals could come first, second and third. 

Done! 

Model: What is 100! /98! 

Utilizing our insight from the past model we can hop directly to this: 

100!98! = 100 × 99 = 9900

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