How many injective functions are there from a

Answered question

2022-05-04

How many injective functions are there from a set with 3^10 elements to a set with 2^20 elements

Answer & Explanation

user_27qwe

user_27qwe

Skilled2022-07-02Added 375 answers

first element has no choise, so for injective 2nd has 19 choise, similary so,

total number of function = 205

total number of injective function = 20(20-1)(20-2)(20-3)(20-4)

                                                                    = 20×19×18×17×16

 

 total number of not injective function = 205-20×19×18×17×16

                                                                                 = 1339520

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