Tom S. answered • 07/03/20
Experienced, Patient Secondary School, College, and SAT/ACT Math Tutor
Hello ISC B.,
I will get you started. You make pigeonholes listing all the possibilities for numbers that are 5 apart. As soon as you use a number in a pigeonhole, you cannot use it again. For example:
1, 6 2, 7 3, 8 4, 9 5, 10 BUT not 6, 11 since 6 is already used.
See if you can finish the list ending with 15, 20. You should get 10 pigeonholes. Since there are 11 numbers being selected, at least 2 of them will end up in the same pigeonhole.
See if you can fill in the rest of the details.
Tom S.
I don't know what class you are in or how this problem relates to what you are studying, but it involves what is called the "pigeonhole principle". You can look it up on the Internet. I assume this topic must be in your class, but maybe with a different name.07/04/20
ISC B.
Ok got it.07/05/20
ISC B.
Will you please explain what does it mean by "pigeonhole". Thanks.07/04/20