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try a simpler versionspot the patternroutes you set asidework back from the goalthe answeryour reasoning

Answers are cheap now. Reasoning is yours to keep.

  • mirror

    See the steps you took.

  • map

    See the routes you didn't take.

  • challenge

    Then go one step further.

Sample problem

Ten people meet. Each person shakes hands once with every other person. How many handshakes are there?

  1. step you took

    Try a simpler version.

    2 people: 1 · 3 people: 3 · 4 people: 6

    set aside

    Draw all ten people and every line.

    Started, then switched to smaller groups.

  2. step you took

    Spot the pattern.

    Each new person shakes hands with everyone already there: 1 + 2 + 3 + … + 9

    set aside

    Each of the 10 shakes 9 hands, and every handshake is counted twice: 10 × 9 ÷ 2.

    A shorter route to the same place.

  3. the answer

    45

  4. one step further

    And with any number of people?

the goal, on the horizon

Exam Dominance: 10 complete papers at dominance level, consistent every time, under real exam conditions.

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