But everyone else in the class made less mistakes then he did. Prove that there were at least 3 students in the class who made the same number of mistakes.
2007-07-09 23:43:32 · 6 answers · asked by micky m 2 in Science & Mathematics ➔ Mathematics
So, this leaves 25 students who made less mistakes than he did. In order for less mistakes to have been made, the number of possible mistakes that could be made would be 0-11 (so a total of 12). If students 1-12 each made a different number of mistakes, and students 12-23 also all made a different number of mistakes, then since there are only 12 mistake options, each mistake would have to be repeated a minimum of a second time. Hence the last student (the 24th) would have to make the same number of mistakes as the two of the other students, meaning that at least 3 people in the class made the same number of mistakes.
2007-07-10 00:18:58 · answer #1 · answered by Mr. me 2 · 0⤊ 0⤋
Since all the other 25 students made either 11 or less mistakes, and since 25/11 is more than 2, it follows that atleast 3 students made the same number of mistakes.
2007-07-09 23:50:08 · answer #2 · answered by Swamy 7 · 0⤊ 0⤋
contradiction.
more info needed.
how can 3 students make the same amount of mistakes when 25 student made less than he
2007-07-09 23:48:32 · answer #3 · answered by Anonymous · 0⤊ 1⤋
I guess that is impossible
because he is the only one who made 12 mistakes and the other made less mistakes
It's an error!!!
2007-07-09 23:51:51 · answer #4 · answered by Anonymous · 0⤊ 1⤋
you say all the students made less mistakes than he so there's an error
2007-07-10 00:20:43 · answer #5 · answered by mando 2 · 0⤊ 1⤋
i dont get it!
2007-07-09 23:53:10 · answer #6 · answered by Anonymous · 0⤊ 2⤋