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mathmath333
 one year ago
In a tournament each of the participants was to play one match
against each of the other participants. 3 players fell ill after each
of them had played 3 matches and had to leave the tournament .
What was the total number of the participants at the beginning ,
if the total number of the matches played was 75 ?
mathmath333
 one year ago
In a tournament each of the participants was to play one match against each of the other participants. 3 players fell ill after each of them had played 3 matches and had to leave the tournament . What was the total number of the participants at the beginning , if the total number of the matches played was 75 ?

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \color{black}{\begin{align} & \normalsize \text{In a tournament each of the participants was to play one match } \hspace{.33em}\\~\\ & \normalsize \text{against each of the other participants. 3 players fell ill after each} \hspace{.33em}\\~\\ & \normalsize \text{of them had played 3 matches and had to leave the tournament .} \hspace{.33em}\\~\\ & \normalsize \text{What was the total number of the participants at the beginning ,} \hspace{.33em}\\~\\ & \normalsize \text{if the total number of the matches played was 75 ?} \hspace{.33em}\\~\\ & a.)\ 8 \hspace{.33em}\\~\\ & b.)\ 10 \hspace{.33em}\\~\\ & c.)\ 12 \hspace{.33em}\\~\\ & d.)\ 15 \hspace{.33em}\\~\\ \end{align}}\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0option d.) is given correct

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0similar problem to Nourage's. look up the "handshake problem"

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0that problem is easy this question has twists

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2ok what i think  let the no. of ppl be x number of matches played if we don't count those 3 ppl=(x3)! nd if u count those 3 ppl we have to include the matches played by them =9 so (x3)!+9+75 nd here comes up the twist

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2did i do any mistake out there? ^

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0suppose there are 12 people in a room and each person is to shake the hand of everyone else in the room (excluding themself). the 1st person will shake hands with 11 others, the 2nd person will shake the hand of 10 others (already counted shaking hands with the 1st person), etc. 11+10+9+8+7+6+5+4+3+2+1 = 66 now 3 people shook hands with 3 people each for a total of 9. 66+9 = 75

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2wait i got my mistake :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\left(\begin{matrix}n \\ 2\end{matrix}\right)+9=75\]solve for n

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2it should be \[\frac{ (n3)(2+(n4)) }{ 2}\] instead of (n3)! so we get (n3)(2+(n4))/2 + 9 =75 n=14

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it's interesting... i put it all there and perhaps you don't understand but why offer something with no reasoning and the wrong answer to boot?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\left(\begin{matrix}n \\ 2\end{matrix}\right)+9=75\]n=12 but you have to add 3 for the 3 that dropped out... n=12 is the number who stayed in and played each of the other 11 teams once/

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1@UnkleRhaukus please help

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0here we are given that each participant was to play one match against each one participant

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and let we consider participants 1,2,3,4,5,6,7etc we have to find the pairs

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like 12 ,13 ,14 ,15 etc but we are given that number of matches are 75 so we have to consider those numbers by which we can arrange that matches so start from 8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hey got my point or not ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like we are given set {1,2,3,4,5,6} so we are asked that find the number of order pairs ..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it looks like i'm talking to myself ..
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