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Handshakes





            At a  party, each guest shakes hands with everyone else.
            If there are 2 guests, there will be one handshake.


                                                 A-------- B  --.. AB
                                                   AB  means 'A and B shake hands'.



            If there are 3 guests, there will be three handshakes.
                             ~

                                                                                     AB
                                                                                    AC
                                                                                     BC
                                              A                                 c


                                                                       B
        ITJ     Copy and complete this                                             AB
                                                         A               c      .,  AC
                handshake diagram
                                                                                   AD
                for 4 people.

         [3J    Draw diagrams to show the number of handshakes for:


                a  5 people            b  6 people.



         @]  •  Without drawing diagrams, how many handshakes for:

                   a  7 people         b  10 people         c  11  people?
                •  How do you know?


         [I]  •  How many handshakes will each person make if there are:

                   a  5 people         b  9 people        c  32  people?

                •  Copy and continue this table
                                                            Nl.U'Vlbv  aj- p~               2  3
                                                                                        '
                   for up to 12 people.
                                                           N [.U'\l\A7U  a:J  kA_Ms~    0
                 You don't shake hands with yoursel  f!    ma,;:ve_  ~ .uckt  p.v'SOVV
                                                           T IT't<.(),,  Vut.A~~       0
                                                           ~                                       ~
                Now try RM 29.                                       -    -  ~
                                                                                       T
                                                                                           I STEPS 5:14 I
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