Cookies!!!
We decided to choose 6 kids to enter the Brilliant Math League Tournament. We won
place. To celebrate our achievement, we decided to have a cookie party. During the party, we noticed two things.
Only 6 people attended the party.
11 or 12 cookies were brought in total (We don't know which).
What is the number of possible "cookie bringing" arrangements?
Each cookie bringing arrangement is the number of cookies each person brought. But the people are different!!!
The answer is 10556.
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1 solution
By the so-called 'stars and bars method' or 'supermarket principle', the total number of arrangements is
( 5 1 6 ) + ( 5 1 7 ) = 1 0 5 5 6 .