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 A list of 10 positive integers, each less than 15, has an average of 6. What is the maximum number of ones (the number 1, not the digit) that could be in the list?

 Sep 24, 2021
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   A list of 10 positive integers, each less than 15, has an average of 6.     

   What is the maximum number of ones (the number 1, not the digit) that could be in the list?     

 

   number of 1's    

        10               make the other 50 with 0 integer     -   No     

          9               make the other 51 with 1 integer     -   No     

          8               make the other 52 with 2 integers   -   No     

          7               make the other 53 with 3 integers   -   No     

          6               make the other 54 with 4 integers   -   Yes  14, 14, 14, 12     

   .     

 Apr 19, 2026

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