be a set of 
integers. By the division algorithm the possible remainders when we divide by 
are 
. Then, each integer 
can be written as:
has 
. Then,
. Then, 
. Then we have that 
.pigeon hole principle :
prove that given any set of n + 1 integers, there must be at least on...
Mathematics, 20.09.2019 23:20 khyjah74
pigeon hole principle :
prove that given any set of n + 1 integers, there must be at least one pair among them whose difference is divisible by n
Answers: 1
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