A group of 11 friends head to the pub on quiz night. The maximum team size allowed is 3 and nobody wants to compete solo! In how many different groupings can the friends enter into the quiz?
Any ideas on how to do this??
Quiz night - problem
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word-problem
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0This question is part of the [Newcastle University Senior Challenge '17](http://www.ncl.ac.uk/maths/outreach/teachers/challenge/) (question 5 _Quiz Night Quandry_ of [this pdf](http://www.ncl.ac.uk/media/wwwnclacuk/mathematicsandstatistics/files/mathschallenge2017/Newcastle%20Senior%20Maths%20Challenge%202017.pdf)). The stated due date for entries is 10 March 2017, and this question will remain locked with answers temporarily deleted until after this date. – 2017-02-25
1 Answers
1
Hint -
We have 2 cases.
Case 1 - Group sizes are 3, 3, 3, 2.
Case 2 - Group sizes are 2, 2, 2, 2, 3.
Hope you can proceed further.
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0Does this mean that there're only two groupings? – 2017-02-25