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At a picnic of at least 3 people, a plate of 26 cookies is passed around. Each person takes one cookie and passes the plate to the next person. Jana gets the first cookie and next to last cookie. What is the median of all possible numbers of people at the picnic?

 Jul 6, 2021
 #1
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Jana  gets  the  1st cookie  and the 25th cookie

 

No. of  people

         3                     possible  each gets  8  and then Jana  gets  the 25th one

         4                     possible each  get  6  and then Jana gets  the 25th one

         5                    not possible  each get  5   and rhen Jana gets the  26th one

         6                     possible each  get  4    and then  Jana gets the  25th one

         7                    not possible  each  get 3  and  then Jana gets  the  22nd one

         8                    possible   each get  3   and Jana gets  the  25th one

         9                    not possible each  get  2   and Jana  gets  the 19th

        10                   not possible  each get 2  and  Jana gets  the  21st

         11                  not possible   each get 2  and Jana gets the  23rd

         12                  possible   each  get 2  and then Jana gets the 25th

        ......

         24                 possible  each get 1  and then Jana gets the  25th

         26                 possible  each  get  1   and  Jana gets the 25th

 

Number of people possible

3 , 4  , 6  ,  8,  12  ,  24 ,  26

 

Median =    8

 

cool cool cool

 Jul 6, 2021
 #2
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0

ummm answer is 7 but thanks for giving me a starting point! 

Guest Jul 6, 2021

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