How many students must be in class to guarantee that at least two students get same score on exam if the exam is graded on scale 0 to 100 points?

Question

I have done n=101(pigeon holes) k+1=2 k=1

k.n+1(pigeons)=1.101+1=102

please! can anybody help to find this is right or wrong.

score 4 · Accepted Answer · answered Sep 02 '19 at 13:03

4

Yes, you have 101 different score posibilities. By the pidgeon hole principle, you must have 102 students in class to assure that two of them get the same score.

answered Sep 02 '19 at 13:03

javi1996

973

Than you so much! – Gone Lastvirus Sep 02 '19 at 17:29

score -1 · Answer 2 · answered Oct 11 '22 at 04:22

-1

The number of possible scores a student can be assigned is from 0 to 100 hence total of 101 scores assigned, 0 to ist 1 to second and similarly 100 to 101th student. Now when 102th student is given a score that will be surely repeated(0-100 value). Hence at least 102 students should be there.

answered Oct 11 '22 at 04:22

MudasirKhan

1

How does this answer differ from an accepted and three year old one? – Kurt G. Oct 11 '22 at 04:26
indeed it doesn't but i think it is not wrong to try to articulate what you understand and start answering maybe from some question answered three years back. – MudasirKhan Oct 17 '22 at 06:12

How many students must be in class to guarantee that at least two students get same score on exam if the exam is graded on scale 0 to 100 points?

2 Answers2