Mathematics

10th -

12thgrade

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Combinatorics and Graphs

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10 questions

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  • 1. Multiple Choice
    2 minutes
    1 pt

    In a company of 8 some people know each other, some don’t. They know the following number of people: 1, 1, 2, 2, 3, 4, 5, 6. (Acquaintances are mutual.) How many more connections (also mutual) must be made so that everybody will know everybody else?

    4

    16

    32

    none of these answers

  • 2. Multiple Choice
    2 minutes
    1 pt
    Image

    The graph above shows the matches already played in a chess tournament. How many more matches will be played if everybody has to play against all the other players once?

    10

    20

    5

    none of these answers

  • 3. Multiple Choice
    2 minutes
    1 pt

    There are 6 exercises on a maths practice worksheet. You can solve them in any order. In how many different orders can you solve the exercises if you want to solve all of them?

    36

    360

    720

    46656

    none of these

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