Permutations of Five Distinct People

Overview

A concise visual proof that five distinct individuals can be arranged side‑by‑side in $5! = 120$ different ways. Each step shows the decreasing number of choices for the next position, culminating in the full arrangement and the factorial result.

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Phases

#	Phase Name	Duration	Description
1	Scene 1 – Initial Setup	~3 s	White background. Left side displays five distinct human silhouettes labelled A, B, C, D, E. Right side shows an empty “slot” row of five placeholders for the final arrangement and a blank mathematical area.
2	Scene 2 – First Position	~4 s	Highlight the five silhouettes one by one, each moving into the first placeholder. Simultaneously, the right‑hand math area writes the number "5".
3	Scene 3 – Second Position	~5 s	The figure that occupied the first slot stays; the remaining four silhouettes animate, each taking turns to move into the second placeholder. The math area updates to "5 \ imes 4".
4	Scene 4 – Third Position	~5 s	After the second slot is filled, the three remaining silhouettes animate into the third slot one after another. Math updates to "5 \ imes 4 \ imes 3".
5	Scene 5 – Fourth & Fifth Positions	~6 s	The two remaining figures fill the fourth slot (showing "5 \ imes 4 \ imes 3 \ imes 2"), then the last figure slides into the final slot, completing "5 \ imes 4 \ imes 3 \ imes 2 \ imes 1".
6	Scene 6 – Result	~5 s	All five figures now stand side‑by‑side in the left area. The math area animates the factorial expression $5! = 5 \ imes 4 \ imes 3 \ imes 2 \ imes 1$ and then replaces it with the large result "120" followed by the caption "120 FARKLI DİZİLİŞ".

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Layout

┌─────────────────────────────────────────────┐
│                     MAIN                     │
│   Left: figure zone          Right: math zone │
│                                             │
├─────────────────────────────────────────────┤
│               Caption / step label (optional)│
└─────────────────────────────────────────────┘

Area Descriptions

Area	Content	Notes
Main	Left half: five distinct human silhouettes (A‑E) placed in a horizontal line; placeholders for the five final positions; animated movements of the figures.	Uses simple, modern silhouettes with distinct colors for easy identification.
Math	Right half: a vertical column where the multiplication expression is built step‑by‑step, then the factorial and final result.	No text overlaps the figures; all equations appear only in this zone.
Caption	Optional small label at bottom (e.g., "Step 1", "Step 2"), but can be omitted if not needed.	Kept minimal; user may add spoken narration.

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Notes

• Assumptions: No spoken text is displayed; the user will provide narration. All timings are approximate and can be trimmed for a shorter overall video.
• Figures are distinct by color and a subtle label (A‑E) that is only visible to the creator; the labels are not shown to the audience to keep the visual clean.
• All transitions are simple fades or linear moves; no camera pans beyond the static two‑zone split.
• The background remains pure white throughout.
• No additional text or captions are added beyond the mathematical expressions.
• The animation follows the rule that a figure once placed does not reappear in later slots.