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
Another question on Mathematics
Mathematics, 21.06.2019 19:30
Which of the following is the explicit rule for a geometric sequence defined a recursive formula of a -5a for which the first term is 23?
Answers: 1
Mathematics, 21.06.2019 19:30
If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).
Answers: 1
Mathematics, 21.06.2019 22:00
Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250
Answers: 1
You know the right answer?
Questions
Mathematics, 11.03.2021 01:40
Business, 11.03.2021 01:40
Social Studies, 11.03.2021 01:40
Mathematics, 11.03.2021 01:40
Social Studies, 11.03.2021 01:40
Mathematics, 11.03.2021 01:40
Mathematics, 11.03.2021 01:40
Mathematics, 11.03.2021 01:40
Mathematics, 11.03.2021 01:40
Mathematics, 11.03.2021 01:40
