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Restaurant Choice Problem

Restaurant Choice Problem
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2022-07-04 18:25
Probability & StatisticsGeometric ConstructionSlider Animation
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This example demonstrates how to calculate the total number of combinations when selecting different options from a restaurant menu. The core math concepts involved are the multiplication principle and basic counting methods in probability & statistics. Constructed using GeoGebra commands/objects like Polygon, SpeechBubbleLeft, Segment, Textfield, and If. Suitable for upper elementary grades (5-6) to learn permutation and combination problems and the application of the multiplication principle in real-life scenarios.

GeoGebra Commands & Parameters

  1. Polygon((9.7, -2.2), (9.7, -3.5), (10.6, -3.5), (10.6, -2.2)) → box5_{2}, box3_{23}, box3_{24}, box3_{25}, box3_{26}
  2. Polygon((8.7, -2.2), (8.7, -3.5), (9.6, -3.5), (9.6, -2.2)) → box5_{1}, box3_{27}, box3_{28}, box3_{29}, box3_{30}
  3. Polygon((7.7, -2.2), (7.7, -3.5), (8.6, -3.5), (8.6, -2.2)) → box4_{2}, box3_{13}, box3_{14}, box3_{15}, box3_{16}
  4. Polygon((6.7, -2.2), (6.7, -3.5), (7.6, -3.5), (7.6, -2.2)) → box4_{1}, box3_{17}, box3_{18}, box3_{19}, box3_{20}
  5. Polygon((5.7, -2.2), (5.7, -3.5), (6.6, -3.5), (6.6, -2.2)) → box3_{2}, box3_{7}, box3_{8}, box3_{9}, box3_{10}
  6. Polygon((4.7, -2.2), (4.7, -3.5), (5.6, -3.5), (5.6, -2.2)) → box3_{1}, box3_{31}, box3_{5}, box3_{6}, box3_4
  7. Polygon((8.4, 0.09999999999999998), (8.4, -1.0999999999999994), (10.2, -1.0999999999999994), (10.2, 0.09999999999999998)) → box2_{3}, box2_{12}, box2_{13}, box2_{14}, box2_{15}
  8. Polygon((6.5, 0.09999999999999998), (6.5, -1.0999999999999994), (8.3, -1.0999999999999994), (8.3, 0.09999999999999998)) → box2_{2}, box2_{8}, box2_{9}, box2_{10}, box2_{11}
  9. Polygon((4.6, 0.09999999999999998), (4.6, -1.0999999999999994), (6.4, -1.0999999999999994), (6.4, 0.09999999999999998)) → box2_{1}, box2_{4}, box2_{5}, box2_{6}, box2_{7}
  10. Polygon((1.5, 0.09999999999999998), (1.5, -1.0999999999999994), (3.3, -1.0999999999999994), (3.3, 0.09999999999999998)) → box1_{3}, box1_{12}, box1_{13}, box1_{14}, box1_{15}
  11. Polygon((-0.4, 0.09999999999999998), (-0.4, -1.0999999999999994), (1.4, -1.0999999999999994), (1.4, 0.09999999999999998)) → box1_{2}, box1_{8}, box1_{9}, box1_{10}, box1_{11}
  12. Polygon((-2.3, 0.09999999999999998), (-2.3, -1.0999999999999994), (-0.5, -1.0999999999999994), (-0.5, 0.09999999999999998)) → box1_{1}, box1_{4}, box1_{5}, box1_{6}, box1_{7}
  13. Polygon((-2.6, 0.4), (-2.6, -1.4), (-0.5, -1.4), (-0.5, 0.4)) → val1_1, m, n, p, q
  14. Polygon((-0.45, 0.4), (-0.45, -1.4), (1.45, -1.4), (1.45, 0.4)) → val1_2, r, s, t, b
  15. Polygon((1.5, 0.4), (1.5, -1.4), (3.6, -1.4), (3.6, 0.4)) → val1_3, c, d, e, k_1
  16. Polygon((4.3, 0.4), (4.3, -1.4), (6.4, -1.4), (6.4, 0.4)) → val2_1, l_1, m_1, n_1, p_1
  17. Polygon((6.45, 0.4), (6.45, -1.4), (8.35, -1.4), (8.35, 0.4)) → val2_2, q_1, r_1, s_1, t_1
  18. Polygon((8.4, 0.4), (8.4, -1.4), (10.6, -1.4), (10.6, 0.4)) → val2_3, a_1, b_1, c_1, d_1
  19. SpeechBubbleLeft(Bubble1, 8, 2) → sp1
  20. SpeechBubbleLeft(Bubble1, 9.3, 2) → sp2
  21. SpeechBubbleLeft(Bubble1 + (0, 0.8), 11.8, 2) → sp3
  22. Segment(V, W) → f
  23. Segment(Z, A_1) → g
  24. Segment(B_1, C_1) → h
  25. Segment(V_{1}, W_{1}) → f_{1}
  26. Segment(Z_{1}, A_{2}) → g_{1}
  27. Segment(B_{2}, C_{2}) → h_{1}
  28. SpeechBubbleLeft(Bubble1 + (0, 0.8), 13, 2.2) → sp4
  29. Segment(P_1, Q_1) → i
  30. Segment(R_1, S_1) → j
  31. Segment(P_{2}, Q_{2}) → i_{1}
  32. Segment(R_{2}, S_{2}) → j_{1}
  33. Segment(P_{3}, Q_{3}) → i_{2}
  34. Segment(R_{3}, S_{3}) → j_{2}
  35. Segment(P_{4}, Q_{4}) → i_{3}
  36. Segment(R_{4}, S_{4}) → j_{3}
  37. Segment(P_{5}, Q_{5}) → i_{4}
  38. Segment(R_{5}, S_{5}) → j_{4}
  39. Segment(P_{6}, Q_{6}) → i_{5}
  40. Segment(R_{6}, S_{6}) → j_{5}
  41. SpeechBubbleLeft(Bubble1, 13.5, 3) → sp5
  42. Textfield(bInput) → InputBox2
  43. Textfield(cInput) → InputBox3
  44. Textfield(dInput) → InputBox4
  45. Textfield(eInput) → InputBox5
  46. If((¬Defined[(dInput * eInput)]) ∧ (cInput ≟ 2 ∨ cInput ≟ 3), true, If[cInput ≟ 2 ∧ dInput ≟ 2 ∧ eInput ≟ 3 ∨ cInput ≟ 2 ∧ dInput ≟ 3 ∧ eInput ≟ 2 ∨ cInput ≟ 3 ∧ eInput ≟ 2 ∧ dInput ≟ 2, true, false]) → correct2
  47. If(cInput ≟ 2, dInput ≟ 3 ∨ dInput ≟ 2, If[cInput ≟ 3, dInput ≟ 2]) → correct3
  48. If(cInput ≟ 2 ∧ dInput ≟ 2, eInput ≟ 3, eInput ≟ 2) → correct4
  49. Segment(C_7, D_7) → k
  50. Segment(E_7, F_7) → l
  51. Polygon((4.5, -2), (4.5, -3.7), (5.6, -3.7), (5.6, -2)) → val3_1, e_1, f_2, g_2, h_2
  52. Polygon((9.7, -2), (9.7, -3.7), (10.9, -3.7), (10.9, -2)) → val5_{2}, box3_{11}, box3_{12}, box3_{21}, box3_{22}
  53. Polygon((8.7, -2), (8.7, -3.7), (9.6, -3.7), (9.6, -2)) → val5_{1}, box3_{32}, box3_{33}, box3_{34}, box3_{35}
  54. Polygon((7.7, -2), (7.7, -3.7), (8.6, -3.7), (8.6, -2)) → val4_{2}, box3_{36}, box3_{37}, box3_{38}, box3_{39}
  55. Polygon((6.7, -2), (6.7, -3.7), (7.6, -3.7), (7.6, -2)) → val4_{1}, box3_{40}, box3_{41}, box3_{42}, box3_{43}
  56. Polygon((5.7, -2), (5.7, -3.7), (6.6, -3.7), (6.6, -2)) → val3_{2}, box3_{44}, box3_{45}, box3_{46}, box3_{47}
  57. If(IsInRegion[MidCon3, val3_1] ∧ (IsInRegion[MidDon1, val3_{2}] ∨ IsInRegion[MidDon2, val3_{2}] ∨ IsInRegion[MidDon3, val3_{2}]), true, If[IsInRegion[MidCon3, val3_{2}] ∧ (IsInRegion[MidDon1, val3_1] ∨ IsInRegion[MidDon2, val3_1] ∨ IsInRegion[MidDon3, val3_1]), true, If[IsInRegion[MidCon3, val4_{1}] ∧ (IsInRegion[MidDon1, val4_{2}] ∨ IsInRegion[MidDon2, val4_{2}] ∨ IsInRegion[MidDon3, val4_{2}]), true, If[IsInRegion[MidCon3, val4_{2}] ∧ (IsInRegion[MidDon1, val4_{1}] ∨ IsInRegion[MidDon2, val4_{1}] ∨ IsInRegion[MidDon3, val4_{1}]), true, If[IsInRegion[MidCon3, val5_{1}] ∧ (IsInRegion[MidDon1, val5_{2}] ∨ IsInRegion[MidDon2, val5_{2}] ∨ IsInRegion[MidDon3, val5_{2}]), true, If[IsInRegion[MidCon3, val5_{2}] ∧ (IsInRegion[MidDon1, val5_{1}] ∨ IsInRegion[MidDon2, val5_{1}] ∨ IsInRegion[MidDon3, val5_{1}]), true, false]]]]]) → cone3True
  58. If(IsInRegion[MidCon2, val3_1] ∧ (IsInRegion[MidDon1, val3_{2}] ∨ IsInRegion[MidDon2, val3_{2}] ∨ IsInRegion[MidDon3, val3_{2}]), true, If[IsInRegion[MidCon2, val3_{2}] ∧ (IsInRegion[MidDon1, val3_1] ∨ IsInRegion[MidDon2, val3_1] ∨ IsInRegion[MidDon3, val3_1]), true, If[IsInRegion[MidCon2, val4_{1}] ∧ (IsInRegion[MidDon1, val4_{2}] ∨ IsInRegion[MidDon2, val4_{2}] ∨ IsInRegion[MidDon3, val4_{2}]), true, If[IsInRegion[MidCon2, val4_{2}] ∧ (IsInRegion[MidDon1, val4_{1}] ∨ IsInRegion[MidDon2, val4_{1}] ∨ IsInRegion[MidDon3, val4_{1}]), true, If[IsInRegion[MidCon2, val5_{1}] ∧ (IsInRegion[MidDon1, val5_{2}] ∨ IsInRegion[MidDon2, val5_{2}] ∨ IsInRegion[MidDon3, val5_{2}]), true, If[IsInRegion[MidCon2, val5_{2}] ∧ (IsInRegion[MidDon1, val5_{1}] ∨ IsInRegion[MidDon2, val5_{1}] ∨ IsInRegion[MidDon3, val5_{1}]), true, false]]]]]) → cone2True
  59. If(IsInRegion[MidCon1, val3_1] ∧ (IsInRegion[MidDon1, val3_{2}] ∨ IsInRegion[MidDon2, val3_{2}] ∨ IsInRegion[MidDon3, val3_{2}]), true, If[IsInRegion[MidCon1, val3_{2}] ∧ (IsInRegion[MidDon1, val3_1] ∨ IsInRegion[MidDon2, val3_1] ∨ IsInRegion[MidDon3, val3_1]), true, If[IsInRegion[MidCon1, val4_{1}] ∧ (IsInRegion[MidDon1, val4_{2}] ∨ IsInRegion[MidDon2, val4_{2}] ∨ IsInRegion[MidDon3, val4_{2}]), true, If[IsInRegion[MidCon1, val4_{2}] ∧ (IsInRegion[MidDon1, val4_{1}] ∨ IsInRegion[MidDon2, val4_{1}] ∨ IsInRegion[MidDon3, val4_{1}]), true, If[IsInRegion[MidCon1, val5_{1}] ∧ (IsInRegion[MidDon1, val5_{2}] ∨ IsInRegion[MidDon2, val5_{2}] ∨ IsInRegion[MidDon3, val5_{2}]), true, If[IsInRegion[MidCon1, val5_{2}] ∧ (IsInRegion[MidDon1, val5_{1}] ∨ IsInRegion[MidDon2, val5_{1}] ∨ IsInRegion[MidDon3, val5_{1}]), true, false]]]]]) → cone1True
  60. If(y(SushiLeft2) ≠ -4.5 ∨ y(NudelnLeft2) ≠ -4.6 ∨ y(CurryLeft2) ≠ -4.72, false, true) → movedHauptspeise
  61. If(y(donutLeft3) ≠ -5 ∨ y(coneLeft3) ≠ -5, false, true) → movedNachspeise

AI Drawing Prompt Reference

Create a classroom-style diagram for a “restaurant choice problem” that counts combinations. Draw a set of evenly sized rectangular boxes in a grid-like layout in the lower half of the canvas, arranged in multiple columns and rows to represent menu choices. Add several left speech bubbles near the top/middle to guide the task. Place multiple text input fields to enter the selected option numbers. Then draw multiple small line segments that connect each input item to the corresponding choice areas, so the diagram visually links inputs to the menu boxes. Keep the layout clear and instructional for basic counting with the multiplication principle.
The prompt above was compiled from the original drawing commands and is for reference only.