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Mathematics 12 Online
OpenStudy (mathmath333):

question

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align} & \normalsize \text{Ten students A, B, C, D, E, F, G, H, I and J}\hspace{.33em}\\~\\ & \normalsize \text{are chosen to represent their college in four sport}\hspace{.33em}\\~\\ & \normalsize \text{Tennis, badminton, table tennis, snooker.}\hspace{.33em}\\~\\ & \normalsize \text{The badminton team has one student less than tennis team.}\hspace{.33em}\\~\\ & \normalsize \text{A, B and C are not tennis player individually or as group.}\hspace{.33em}\\~\\ & \normalsize \text{D, E and F are not badminton player individually or as group.}\hspace{.33em}\\~\\ & \normalsize \text{G, H and I are not table tennis player individually or as group.}\hspace{.33em}\\~\\ & \normalsize \text{J is table tennis player.}\hspace{.33em}\\~\\ & \normalsize \text{None of the students is a snooker player.}\hspace{.33em}\\~\\ \end{align}}\) Which of the following students could be table tennis players a.) J,B and G b.) J,C and F c.) J,D,E and F d.) J,B,C and D

OpenStudy (anonymous):

b lol

OpenStudy (anonymous):

lol jk

OpenStudy (mathmath333):

answer is b.) but how u get it

OpenStudy (anonymous):

it is ?

OpenStudy (anonymous):

j and c can play tennis f is not badmitton so they play tennis

OpenStudy (mathmath333):

\(\begin{array}{|c|c|c|c|} \hline & \text{Tennis} & \text{Badminton}& \text{Table Tennis } \\ \hline A& \times & & \\ \hline B& \times & & \\ \hline C& \times & & \\ \hline D& & \times & \\ \hline E& & \times & \\ \hline F& &\times & \\ \hline G& & &\times \\ \hline H& & & \times \\ \hline I& & & \times \\ \hline J& \times & \times & \\ \hline Total & n & n-1 & & \\ \hline \end{array}\)

OpenStudy (mathmath333):

the table is given as hint

OpenStudy (anonymous):

idk i guessed tbh

OpenStudy (unklerhaukus):

What happened to snooker?

OpenStudy (freckles):

college didn't have enough money

OpenStudy (mathmath333):

snooker = 0 ( no participants)

OpenStudy (unklerhaukus):

why is badminton \(n-1\), is that the rule?

OpenStudy (freckles):

I actually looked up this question in there is a text that says the answer is C. I don't get how they got it... There are 6 students we are still trying to place. So T,B,TT 6,5,... too many already throw this combination out 5,4,1 seems possible since J is a TT but we know there could be more because of the choices... 4,3,3 so 3 could play TT 2,1,7 ... 1,0,9 ... the last 2 don't make sense It seems it would be a chose with 3 people not 4 so I don't know how they got C

OpenStudy (mathmath333):

@ uncle due to this statement ->The badminton team has one student less than tennis team.

OpenStudy (freckles):

a choice with 3 people not 4*

OpenStudy (freckles):

i guess it say COULD... like there might be 3 people who actually play TT but we aren't given enough information to actually know the 3 people

OpenStudy (freckles):

like and some how are we can narrow it down to 4

OpenStudy (freckles):

it is like this text assumes a non tennis play is also a non-table tennis player

OpenStudy (unklerhaukus):

this question too confusing

OpenStudy (mathmath333):

yes ^ it is but i thought the table might somehow help to solve it

OpenStudy (unklerhaukus):

I'm not sure if this helps, but you can see that but an odd number of of students must play Table Tennis

OpenStudy (freckles):

I don't get the part "or as a group"

OpenStudy (mathmath333):

means A,B and C cannot be all in single team like tennis or badminton or table tennis

OpenStudy (abdullahm):

We have a total of 10 people. So far, we only know 1 person is in TT. That is J. We have 9 people left. Our answer choices gives either a total of 4 players or a total of 3 players. If we have a total of 4 players, then we will have 3 badminton and 3 tennis players. We cannot take 6 people and split them into the two teams so that one team has 1 person more than the other. If we have a total of 3 TT players, we can have a total of 7 tennis and badminton players. Do you see where I'm going with this? That means, we can then have 4 tennis players and 3 badminton players. Now, there are only 2 answer choices that have 3 players for TT. That is answer choice A and answer choice B. If you look at answer choice A, you can see that they say that G will be playing TT. But, we know from the question that G doesn't play. That leaves us with B as our answer. When I looked at this question, my mind was going all over. But the minute I started writing it down, it all become clear to me :) I hope this helps! If you have any questions, feel free to ask. :)

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