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falcon handsome moderators

09/03/2017 at 12:34
Answers
6
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Let the answer be k . We count the total number of paris of students were on duty together in the k days. Since every pair of students was on duty together exactly once, this is equal to \(C^{15}_2\) x 1 = 105. On the other hand, since 3 students were on duty per day, this is also equal to \(C^3_2\) x k = 3k. Hence 3k = 105 and so k = 35

 


double counting


    List of answers
  • ...
    Ace Legona 09/03/2017 at 18:03

    What did you try ?

  • ...
    Pham Hoang Nam 18/04/2017 at 21:33

    What did you try ?

  • ...
    phanhuytien 11/08/2017 at 20:59

    What did you try?

      

  • ...
    Trần Nhật Dương 24/06/2017 at 21:22

    What did you try?

  • ...
    ảo ảnh 01/06/2017 at 13:52

    i don't understand ! lolang

  • ...
    Đỗ Duy Mạnh 11/04/2017 at 11:11

    What did you try ?


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