Respuesta :
The least number of integers to pick to be sure that at least four of them are equal to modulo 5 are 16 integers .
In the question ;
We have to find the least number of integers to be sure that at least four of them are equal to modulo 5 .
this question means that , we have to find the integers we must pick in order to be sure that at least two of them have same remainder when divided by 15 .
We take ⇒ 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
So , we have 0 [tex]=[/tex] 5 [tex]=[/tex] 10 [tex]=[/tex] 15 in mod 5
Thus , we need 16 integers so that at least Four of them are equal to mod 5.
Therefore , the least number of integers is 16 .
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