FunTrivia Homepage New Questions Unanswered Post a Question Goto Qn # Archives

# Eleven theater groups took part in a festival. Every day some of the groups put on their plays while the others watched. When the festival was over it was possible to affirm that each one of the groups had been able to attend, at least once, the performances of other groups. What is the minimum number of days that the festival lasted?

Question #23712. Asked by William. (Oct 30 02 3:18 PM)

Bryce

The Festival lasted at least 6 days.

Let the 11 groups be A1, A2, A3, ..., A11. If the 11 groups put on their plays according to following program of events, it is easy to see how each group was able to be present at least one of the performances of every other group.
GROUP DAYS ON WHICH THEY PERFORMED
A1 1 and 2
A2 1 and 3
A3 1 and 4
A4 1 and 5
A5 2 and 3
A6 2 and 4
A7 2 and 5
A8 3 and 4
A9 3 and 5
A10 4 and 5
A11 6

It can be shown that a similar program of events allowing each group to attend at least one of all the other groups' performances would not have been possible in five days.

 Oct 30 02, 6:12 PM

### Other Similar Questions & Answers

 Which of the performers or groups at the 1970 Isle of Wight Festival would later dedicate an album to a singer/actor who was accidently gunned down at the age of twenty-six many years earlier?

### Suggested Related FunTrivia Quizzes - 90,000 currently online

1 Not Possible
 How likely do you think each of these events is - not possible, possible (but not likely to occur), probable (more likely than not to occur) or certain?
Thematic 10Q Tough Tough
10 Q
looney_tunes
Dec 01 10
714 plays
2 The Others
 This is a short quiz on the movie 'The Others'. Don't take it if you haven't seen the movie because it might spoil the end.
Others, The Easy
5 Q
dtm
Sep 30 01
3300 plays
3 Once
 Another good story from James Herbert, the author of 'The Rats' and 'Fog'. Some spoilers if you haven't read it yet.
Herbert, James Average
10 Q
awkins
Nov 06 04
204 plays

"Ask FunTrivia" is for entertainment purposes only, and answers offered are unverified and unchecked by FunTrivia. We cannot guarantee the accuracy or veracity of ANY statement posted. Feel free to post an updated response if you feel that an answer is inadequate or incorrect. Please thoroughly research items where accuracy is important to you using multiple reliable sources. By accessing our website, you agree to be bound by our terms of service.