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How The students played tricks
on the security guard

The following is just one solution for each situation. Of course these are not the only combinations ... try and find more and please let me know .... realizing of course that at most the greatest number of students that can be absent is 6, and the most friends that can stay over is 12, keeping within the rules set up in the puzzle!

[1 stayed out leaving only 23]
8
1
 
1
*
4
 
4
5


[2 stayed out leaving only 22]
9
 
 
 
*
4
 
4
5


[3 stayed out leaving only 21]
9
 
 
 
*
3
 
3
6


[4 stay out all night leaving only 20]
4
1
4
  1
*
1
  4
1
4


[5 stayed out leaving only 19]
9
 
 
 
*
1
 
1
8


[6 stayed out leaving only 18]
9
 
 
 
*
 
 
 
9


[1 friend stays over making a total of 25]
9
 
 
 
*
7
 
7
2


[2 friends stay over making a total of 26]
9
 
 
 
*
8
 
8
1


[3 friends stay over making a total of 27]
9
 
 
 
*
9
 
9
 


[4 friends stay over making a total of 28]
2
5
2
5
*
5
2
5
2


[5 friends stay over making a total of 29]
2
6
1
5
*
6
2
5
2


[6 friends stay over making a total of 30]
3
6
 
6
*
6
 
6
3


[7 friends stay over making a total of 31]
2
6
1
7
*
6
 
7
2


[8 friends stay over making a total of 32]
1
7
1
7
*
7
1
7
1


[9 friends stay over making a total of 33]
1
7
1
7
*
8
1
8
 


[10 friends stay over making a total of 34]
1
8
 
8
*
8
 
8
1


[11 friends stay over making a total of 35]
1
8
 
  8
*
9
 
9
 


[12 friends stay over making total of 36]
 
9
 
9
*
9
 
9
 


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