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Combinatorics: Ways to Choose 4 Students from 25 for a Field Trip

Combinatorics: Ways to Choose 4 Students from 25 for a Field Trip
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2014-08-01 04:01
Probability & Statistics
This example demonstrates the different ways to choose 4 students from a class of 25 to organize a field trip using combinatorial methods. Key mathematical concepts include combinations. The construction involves using the Polygon command to show possible combinations. Suitable for middle school math education.

GeoGebra Commands & Parameters

  1. Polygon((instructionEdge, y(Corner[1])), (instructionEdge, y(Corner[3])), Corner[4], Corner[1]) → instruction, e, g, h, i
  2. Line((x(Corner[1]) + ((2 * indent) * screenwidth), 0), yAxis) → align1
  3. Line((x(Corner[1]) + ((3 * indent) * screenwidth), 0), yAxis) → align2
  4. Line((x(Corner[1]) + ((4 * indent) * screenwidth), 0), yAxis) → align3
  5. Vector(O, O_1) → u
  6. Vector(P, P_1) → v
  7. Vector(C, C_1) → w
  8. Vector(W, W_1) → z
  9. Textfield(class) → inputBox1
  10. Textfield(trip) → inputBox2