permutation and combination

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This topic contains 5 replies, has 3 voices, and was last updated by  rohit pandey 4 years, 9 months ago.

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  • August 11, 2014 at 12:15 pm #525

    shruti290
    Participant

    q1 a seven digit no divisible by 9 is to be formed by using 7 no’s out of {1,2,3,4,5,6,7,8,9} the no of ways in which this can be done is? final ans:4*7!
    q2 the no f ways in which 3 girls and 3 boys all of diff heights be arranged in a line so tht the boys as well as girls among themselves are arranged in decreasing order of their heights(frm left to right)?
    final ans:20

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  • August 12, 2014 at 7:52 am #542

    rohit pandey
    Participant

    shruti the answer for q2 is indeed 20 but i will have to explain it in class.hint -try forming a tree its really big.

    and for q1 if you take and sum the different permutations of 7 numbers form set you will find the sum of 4 options is divisible by 9 hence 4*7!.

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    • August 12, 2014 at 2:01 pm #544

      shruti290
      Participant

      Rohit I got q2 but the 1st one i don’t know how to proceed.

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      • August 12, 2014 at 4:38 pm #546

        admin
        Keymaster

        Rohit/ Shruti, if possible, can either of you upload your soln to q2 here? (take a photo)
        For q1 sort of questions, see this for divisibility rules

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        • August 12, 2014 at 7:13 pm #549

          shruti290
          Participant

          I’m so sorry mh questions got interchanged in the reply ! I don’t know how to go abt for tht q2

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  • August 13, 2014 at 12:56 pm #554

    rohit pandey
    Participant

    this is if first choice is g1 which has ten ways now for b1 also there willbe 10 ways.

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