I'm tired of counting possible ways! Aww

There are Two sets ,Set A{1,2,3,.......n} and Set B{ a 1 a_{1} , a 2 a_{2} .......... a i a_{i} } .Assume a function to be a Set of bridge that associates each element of Set A to each element of Set B and no two brides can have same starting or end points, basically a one to one relation Every element of Set A and B has to be used. If n = i = 10 n=i=10 , How many possible functions are there? In the image, 2 functions A and B are shown.


The answer is 3628800.

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1 solution

Saket Goyal
Aug 16, 2020

The problem boils down to Asking the number of ways to form Distinct String of ten letters using 10 Different Alphabets without repetition. So answer is 10 ! 10!

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