Question

question(logical reasoning)

16 teams have been invited to participate in ...

Answer 1

\(\large \color{black}{\begin{align}
\begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline

& a & b & c & d & e & f & g & h & total \\ \hline
a & \times & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 3 \\ \hline
b & 0 &\times & 1 & 0 & 1 & 0 & 1 & 0 & 3 \\ \hline
c & 0 & 0 &\times & 1 & 0 & 1 & 0 & 1 & 3 \\ \hline
d & 0 & 1 & 0 &\times & 1 & 0 & 1 & 0 & 3 \\ \hline
e & 1 & 0 & 1 & 0 & \times& 1 & 0 & 1 & 4 \\ \hline
f & 1 & 1 & 0 & 1 & 0 & \times& 1 & 0 & 4 \\ \hline
g & 1 & 0 & 1 & 0 & 1 & 0 & \times& 1 & 4 \\ \hline
h & 1 & 1 & 0 & 1 & 0 & 1 & 0 & \times& 4 \\ \hline
\end{array}
\end{align}}\)

Answer 2

i think the answer is 4

Answer 3

Maybe.. I think so too but , no proof?

Answer 4

but i displayed it in the table

Answer 5

i proved it i think

Answer 6

Maybe, I (team a) have 4 points, but 4 other teams have 5 points... I am not going to stage 2.. Is the situation I'm describing impossible?

Answer 7

the question is asking only for stage 1

Answer 8

Yes. If a score sheet like (5,5,5,5, 4 (my team), 2, 2, 0) exists, then I am not going to the next stage.

It's certain that (6,6,6,6,5,...) doesn't exist : too many points (at least 6+6+6+6+5 = 29).

Answer 9

The answer is 4 or 5.

Answer 10

but question is asking the minimum and 4 is minimum not 5

Answer 11

You have found the table for another question: "what is lowest possible score for the 4 selected teams?"

The real question is: "If a team tells you 'we got 4 points', are you sure that they are selected for the next stage?"
it's different.

Answer 12

ok so 4 is not the answer 6 is

Answer 13

i failed to understood the question

Answer 14

Not 6.
It's true that a team with 6 points will be selected, but maybe it's already ok with 5.

If you can find a table with 4 teams having 5 points, and "myteam" having 4 points, then 4 is not the answer.

Answer 15

but in my book it says 6

Answer 16

yes - this is exactly same with the football selectinarie groups when begining the matches - games with 16 teams separated in 2 groups with 8 and 8 teams and after the first round when every team playing one match with the other teams and just the winners will be selected in the next round
- there are 2 groups with 8 and 8 teams - so from this result that every team play in the first round 7 matches and bc. from these 8 team the first 4 will be selected in the next round so from 7 matches are possibille acumulate max. 7 points and every 8 teams not can accumulate 7 points so from this result that the team what accumulated 6 points will be selected in the next round sure,secure
- hope this is understandably sure right

Answer 17

can u show a case where team with 5 points is not selected

Answer 18

@jhonyy9

Answer 19

@Bobo-i-bo

Answer 20

6,5,5,5,5 (your team), ...
does not guarantee your selection.

Answer 21

because there is a possibility that the tie resolved by "tie-breaking" rules, eliminate your team.

Answer 22

oh right

Answer 23

hartnn is very intelligent

Answer 24

not actually, but thanks :)

Answer 25

@mathmath333 . I didn't mean '6' is impossible.. you have to check 5 vs 6.

But, look, it's solved 👻 .

Answer 26

\(\Huge 👻\ ok\)