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    SMO Junior

    Scheduled Pinned Locked Moved Secondary Schools - Academic Support
    191 Posts 40 Posters 132.1k Views 1 Watching
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    • I Offline
      ilaks
      last edited by

      Need help

      Starting from any of the L’s, the word LEVEL can be spelled by moving either up, down, left or right to an adjacent letter. If the same letter may be used twice in each spell, how many different ways are there to spell the word LEVEL?
      http://www.postimage.org/image.php?v=gxD6HZ0

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      • CoffeeCatC Offline
        CoffeeCat
        last edited by

        ilaks:
        Need help

        Starting from any of the L’s, the word LEVEL can be spelled by moving either up, down, left or right to an adjacent letter. If the same letter may be used twice in each spell, how many different ways are there to spell the word LEVEL?
        http://www.postimage.org/image.php?v=gxD6HZ0
        The crux lies in the letter V. There is only one V, so all routes must pass through it. It is connected by the 4 Es.
        Next we look at E and notice that all the Es are connected to 3 Ls.
        Using the concept of route finding, at every E, there are 3 ways of reaching them. Together there are 3*4 =12 ways of reaching the V from any L.
        You have 12ways of getting from L to V and 12 ways from V to a L, therefore the number of ways is 12*12 = 144 ways.
        Interesting question, may i know where it's from?

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        • I Offline
          ilaks
          last edited by

          Hi , Thank you. This question is from smo junior this year

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          • J Offline
            justbehappy
            last edited by

            Answers for 2010 SMO(Junior) can be found here:


            http://wwwdontmesswith6a.blogspot.com/2010/06/smo-junior-answers.html

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            • V Offline
              verykiasu2010
              last edited by

              Can anyone kind enough share which is a better training centre for the SMO ? Thanks!!

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              • M Offline
                MdmKS
                last edited by

                verykiasu2010:
                Can anyone kind enough share which is a better training centre for the SMO ? Thanks!!

                Is performance out?

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                • V Offline
                  verykiasu2010
                  last edited by

                  MdmKS:
                  verykiasu2010:

                  Can anyone kind enough share which is a better training centre for the SMO ? Thanks!!


                  Is performance out?

                  must be able to produce medalists as usual, patient teachers, likeable teachers .....

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                  • C Offline
                    coffeeortea
                    last edited by

                    when will the SMO result out?

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                    • I Offline
                      ilaks
                      last edited by

                      coffeeortea:
                      when will the SMO result out?

                      http://sms.math.nus.edu.sg/competitions/CompetitionHomePage.aspx

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                      • phankaoP Offline
                        phankao
                        last edited by

                        ilaks:
                        coffeeortea:

                        when will the SMO result out?


                        http://sms.math.nus.edu.sg/competitions/CompetitionHomePage.aspx

                        I just looked through the list. Woah, there are pri school kids on the list, but not under their school but tuition centre - i recognise the name on the list of interactive math exploration centre.
                        http://sms.math.nus.edu.sg/competitions/CompetitionHomePage.aspx#special

                        Funnily, the name of one of the students in the special round is noT in the participant namelist for 1 june 2010:
                        http://sms.math.nus.edu.sg/competitions/SMO2010/SchoolIndex/local%5CInteractive%20Math%20Exploration%20Centre.pdf

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