brazil-enem 2017 Q178

brazil-enem · Other · enem__day2 Combinations & Selection Basic Combination Computation
Not being fans of practicing sports, a group of friends decided to hold a soccer tournament using a video game. They decided that each player plays only once against each of the other players. The champion will be the one who gets the highest number of points. They observed that the number of matches played depends on the number of players, as shown in the table:
\begin{tabular}{ c } Number of
players
& 2 & 3 & 4 & 5 & 6 & 7 \hline
Number of
matches
& 1 & 3 & 6 & 10 & 15 & 21 \hline \end{tabular}
If the number of players is 8, how many matches will be played?
(A) 64
(B) 56
(C) 49
(D) 36
(E) 28 
Not being fans of practicing sports, a group of friends decided to hold a soccer tournament using a video game. They decided that each player plays only once against each of the other players. The champion will be the one who gets the highest number of points. They observed that the number of matches played depends on the number of players, as shown in the table:

\begin{center}
\begin{tabular}{ | c | l | l | l | l | l | l | }
\hline
\begin{tabular}{ c } Number of \\ players \\ \end{tabular} & 2 & 3 & 4 & 5 & 6 & 7 \\
\hline
\begin{tabular}{ c } Number of \\ matches \\ \end{tabular} & 1 & 3 & 6 & 10 & 15 & 21 \\
\hline
\end{tabular}
\end{center}

If the number of players is 8, how many matches will be played?\\
(A) 64\\
(B) 56\\
(C) 49\\
(D) 36\\
(E) 28
Paper Questions
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