The pigeonhole principle

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  1. Howie Hua
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It is not guaranteed that atleast 2 people have same number of hair, as one can be bald and the rest 150k can have hair numbered from 1 to 150k

SarangMeshte-ilrd
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As there are six integers means at least two of them have same remainder mod 5 and hence the are a multiple of 5

shalvagang
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If I have 6 integers 1, 2, 3, 4, 5, 6 and have 4-1 it’s 3 and 3 is not a multiple of 5

Marryatau
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A student has an infinite number of red, blue, yellow, pink and black socks in a drawer. how many randomly chosen socks must the student pull out to guarantee he has at least two socks of the same colour?

Can you use the pigeonhole principle to solve this problem

danieldanmola
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I think we have t assume the integers are distinct unless we want to accept 0 as a multiple of 5/

SigmaChuck
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I don't get the whole integer question. How would you identify the pigeons and pigeon holes?

AshleighGraeme