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             \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________





            In an activity, a group of children appears in first scene showing some numbers as follows:






























            In the next scene, they shuffled their positions and changed the numbers as follows:





























            Spectators wondered about the numbers and thought
            what they meant. What would you figure out if you were                 Think and Answer
            in the audience?                                                   1.  Can two children standing
            Each child shows a number which reflects the count of                 next to each other say
            shorter children standing on his/her either side. That                the same number? For this
            means:                                                                group of 5 children, is the

                • A child shows ‘1’ if there is only one shorter child            sequence 1, 1, 1, 1, 1 possible?
                standing beside him/her.                                       2.  Can you rearrange the group
                                                                                  of children so that they show a
                • A child shows ‘2’ if both children standing on either           maximum number of 0s, 1s or 2s?
                sides are shorter than him/her.

                • A child shows ‘0’, if neither of the children standing beside him/her are shorter.

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