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Question

Need some guide in this question.

5 teams take part in a basketball competition.

Each team has to play exactly 1 match against another team.

Team A has already played 4 matches and Team B has already played 3 matches.

If Team D and Team E have each played 2 matches, how many matches does Team C played?

 

My niece indicated 2 by doing the listing method. But it was marked wrong?

So what should it be?

She wrote: 

Team A: B, C,D,E

Team B:  C,D,E

Team C: ,D,E

Team D: E

Team E : 0

 

Answer

5 teams take part in a basketball competition.

Each team has to play exactly 1 match against another team.

“Team A has already played 4 matches and Team B has already played 3 matches.

If Team D and Team E have each played 2 matches, how many matches does Team C played?

 

My niece indicated 2 by doing the listing method. But it was marked wrong?

So what should it be?

She wrote: 

(Allow me first to give the reasons in brackets as to why her answer was marked wrong.)

Team A: B, C,D,E (correct as Team A has already played 4 matches)

Team B:  C,D,E (incorrect as A is excluded)

Team C: ,D,E (incorrect as A is excluded)

Team D: E (incorrect as A is excluded and Team D has played 2 matches)

Team E : 0 (incorrect as A is excluded and Team E has played 2 matches)”

 

I would now then present my working below :

By drawing a table, we get :
Team A has already played 4 matches : B, C, D and E.
Team B has already played 3 matches : A, D and E
Team C has played 1 match : A
Team D has played 2 matches : A and B.
Team E has played 2 matches : A and B.

Ans : 1 match.

 

Another possible answer :
Team A has already played 4 matches : B, C, D and E.
Team B has already played 3 matches : A, C and D or E
Team C has played 3 matches : A, B and D or E.
Team D has played 2 matches : A and B or C.
Team E has played 2 matches : A and B or C.

Ans : 3 matches.

 

 

 

 

 

 

 

0 Replies 1 Like ✔Accepted Answer

Team A played with B,C,D,E

Team B played with A,D,E

Team D played with A, B

Team E played with A, B

Team C played with A. (1 game)

0 Replies 0 Likes

Each team has to play exactly 1 match against another team.

Team A has already played 4 matches and Team B has already played 3 matches.

If Team D and Team E have each played 2 matches, how many matches does Team C played?

Listing: 

 Team A: B, C,D,E

Team B: A, D, E 

Team C: A 

Team D: A,B 

Team E : A, B 

0 Replies 1 Like