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  • a) 3 different colours
    ....c
    ...ab
    ..bca
    .cabc
    abcab

    thinking about b) still in progress...

    Comment


    • part b) erm... maybe 2 exchanging e.g. b and c basically

      Comment


      • Round 203 - snookersfun, yes to part a). Congratulations
        No to part b) - missing something fundamental there...
        "If anybody can knock these three balls in, this man can."
        David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.

        Comment


        • Originally Posted by davis_greatest
          Round 203 - snookersfun, yes to part a). Congratulations
          No to part b) - missing something fundamental there...
          oh dear, remembering things only after PC is off today...

          so, guess I forgot about the vast choices of colours I was given,
          so there should be 4 possible colour combinations (3 out of 4) and each has those 2 options I found before, so now I reach 8 different arrangements already...

          Comment


          • Yes, congratulations snookersfun! There are 8 arrangements.

            As you say, to choose 3 colours from 4, there are 4 choices of which colour not to use. For each choice of 3 colours, you can have either the arrangement you showed or its reflection in the mirror. So 4 x 2 = 8 arrangements!
            "If anybody can knock these three balls in, this man can."
            David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.

            Comment


            • Still no success at round 202, I see! So it stays open!

              At the same time, here is

              Round 204 - The Great Ape Summer Escape Wrap Up in Masking Tape Funny Jape Not In Good Shape Summer Party

              It’s time for the Great Ape Summer Escape Wrap Up in Masking Tape Funny Jape Not In Good Shape Summer Party!

              At the party are plenty of gorillas and orang-utans. You need to divide them into two teams, with each team to consist of 10 apes.

              The gorillas like to hug their team members. In fact,

              Alphonso gives each of his team members 7 hugs
              Boris gives each of his team members 4 hugs
              Clarissa gives each of her team members 1 hug
              Daisy gives each of her team members 8 hugs
              Elisabeth gives each of her team members 10 hugs
              Florence gives each of her team members 4 hugs
              Gordon gives each of his team members 2 hugs
              Horace gives each of his team members 13 hugs
              Isaac gives each of his team members 5 hugs
              Juliet gives each of her team members 6 hugs

              Each time an orang-utan is hugged, he or she kisses the ape who gave the hug. In fact,

              Katie gives 1 kiss for each hug she receives
              Lisa gives 9 kisses for each hug she receives
              Mike gives 5 kisses for each hug he receives
              Noel gives 3 kisses for each hug he receives
              Oliver gives 11 kisses for each hug he receives
              Patricia gives 3 kisses for each hug she receives
              Quincy gives 7 kisses for each hug she receives
              Romeo gives a whopping 15 kisses for each hug he receives
              Sylvia gives 4 kisses for each hug she receives
              Tony gives 2 kisses for each hug he receives

              You want to make sure there are as many kisses as possible! Bid here on the thread the number of kisses you make happen, and show how you split the teams.

              Anyone can bid at any time, as long as your bid is higher than all valid bids before.
              "If anybody can knock these three balls in, this man can."
              David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.

              Comment


              • 1st bit: 12420

                Comment


                • Originally Posted by snookersfun
                  1st bit: 12420
                  Wow, that's high! It's not possible to get those many kisses, I'm afraid.
                  "If anybody can knock these three balls in, this man can."
                  David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.

                  Comment


                  • right, I just found that out myself

                    Comment


                    • 2276 better?

                      Comment


                      • Originally Posted by snookersfun
                        2276 better?
                        Much better! Let's see how you got it!
                        "If anybody can knock these three balls in, this man can."
                        David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.

                        Comment


                        • yes, well added some unnecessary factors in beforehand, but easiest way to figure it out, is to choose highest possible product sum of hugs by gorillas * sum of kisses by orangs (of course sum of apes=10),

                          I found that one finds highest # of kisses for splitting the teams evenly into gorillas and orangs, but having the higher valued huggers grouped with the higher valued kissers in one team.

                          So 6,7,8,10,13 pointer gorillas with 5,7,9,11,15 pointers orangs = 2068 kisses
                          1,2,4,4,5 gorillas with 1,2,3,3,4 orangs = 208 kisses
                          grand total of 2276 smooches

                          Comment


                          • Congratulations, snookersfun! Perfect! Well done!

                            So, let's try Round 205 - Affectionate Clarissa

                            Exactly as round 204, but this time Clarissa stops being so mean, and gives each of her team members 10 hugs, instead of 1.

                            Again, what is the greatest number of kisses you can arrange?

                            snookersfun can answer by PM ... anyone else answer on the thread please!

                            (I will paste snookersfun's answer here on the thread after anyone else has answered it correctly - except of course in the unlikely event that snookersfun should happen to send a wrong answer, in which case it will be pasted here immediately. )
                            "If anybody can knock these three balls in, this man can."
                            David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.

                            Comment


                            • So why is this not just:

                              So 6,7,8,10,13 pointer gorillas with 7,9,10,11,15 pointers orangs = 2288 kisses
                              1,2,4,4,5 gorillas with ,2,3,3,4,5 orangs = 272 kisses

                              = 2560

                              Comment


                              • Originally Posted by chasmmi
                                So why is this not just:

                                So 6,7,8,10,13 pointer gorillas with 7,9,10,11,15 pointers orangs = 2288 kisses
                                1,2,4,4,5 gorillas with ,2,3,3,4,5 orangs = 272 kisses

                                = 2560
                                which round are you answering, chasmmi?
                                "If anybody can knock these three balls in, this man can."
                                David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.

                                Comment

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