61 lines
3.8 KiB
XML
61 lines
3.8 KiB
XML
<svg width="700" height="300" xmlns="http://www.w3.org/2000/svg">
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<!-- Title -->
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<text x="350" y="25" fill="#333" font-size="14" font-weight="bold" text-anchor="middle">Permutations vs Combinations</text>
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<!-- Left: Permutations -->
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<text x="175" y="55" fill="#e74c3c" font-size="13" font-weight="bold" text-anchor="middle">Permutations (order matters)</text>
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<text x="175" y="75" fill="#666" font-size="11" text-anchor="middle">Choosing 2 from {A, B, C}</text>
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<!-- Permutation boxes -->
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<rect x="70" y="90" width="55" height="28" rx="4" fill="#e74c3c" opacity="0.15" stroke="#e74c3c" stroke-width="1"/>
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<text x="97" y="109" fill="#e74c3c" font-size="12" text-anchor="middle">A B</text>
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<rect x="145" y="90" width="55" height="28" rx="4" fill="#e74c3c" opacity="0.15" stroke="#e74c3c" stroke-width="1"/>
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<text x="172" y="109" fill="#e74c3c" font-size="12" text-anchor="middle">B A</text>
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<rect x="220" y="90" width="55" height="28" rx="4" fill="#e74c3c" opacity="0.15" stroke="#e74c3c" stroke-width="1"/>
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<text x="247" y="109" fill="#e74c3c" font-size="12" text-anchor="middle">A C</text>
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<rect x="70" y="128" width="55" height="28" rx="4" fill="#e74c3c" opacity="0.15" stroke="#e74c3c" stroke-width="1"/>
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<text x="97" y="147" fill="#e74c3c" font-size="12" text-anchor="middle">C A</text>
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<rect x="145" y="128" width="55" height="28" rx="4" fill="#e74c3c" opacity="0.15" stroke="#e74c3c" stroke-width="1"/>
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<text x="172" y="147" fill="#e74c3c" font-size="12" text-anchor="middle">B C</text>
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<rect x="220" y="128" width="55" height="28" rx="4" fill="#e74c3c" opacity="0.15" stroke="#e74c3c" stroke-width="1"/>
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<text x="247" y="147" fill="#e74c3c" font-size="12" text-anchor="middle">C B</text>
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<text x="175" y="180" fill="#e74c3c" font-size="12" text-anchor="middle">6 arrangements</text>
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<text x="175" y="198" fill="#666" font-size="11" text-anchor="middle">P(3,2) = 3!/(3-2)! = 6</text>
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<!-- Divider -->
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<line x1="350" y1="45" x2="350" y2="280" stroke="#ccc" stroke-width="1" stroke-dasharray="4,4"/>
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<!-- Right: Combinations -->
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<text x="525" y="55" fill="#3498db" font-size="13" font-weight="bold" text-anchor="middle">Combinations (order ignored)</text>
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<text x="525" y="75" fill="#666" font-size="11" text-anchor="middle">Choosing 2 from {A, B, C}</text>
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<!-- Combination circles -->
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<rect x="435" y="95" width="55" height="28" rx="14" fill="#3498db" opacity="0.15" stroke="#3498db" stroke-width="1"/>
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<text x="462" y="114" fill="#3498db" font-size="12" text-anchor="middle">{A,B}</text>
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<rect x="505" y="95" width="55" height="28" rx="14" fill="#3498db" opacity="0.15" stroke="#3498db" stroke-width="1"/>
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<text x="532" y="114" fill="#3498db" font-size="12" text-anchor="middle">{A,C}</text>
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<rect x="575" y="95" width="55" height="28" rx="14" fill="#3498db" opacity="0.15" stroke="#3498db" stroke-width="1"/>
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<text x="602" y="114" fill="#3498db" font-size="12" text-anchor="middle">{B,C}</text>
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<text x="525" y="155" fill="#3498db" font-size="12" text-anchor="middle">3 groups</text>
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<text x="525" y="173" fill="#666" font-size="11" text-anchor="middle">C(3,2) = 3!/(2!·1!) = 3</text>
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<!-- Connection arrows showing AB=BA merge -->
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<text x="525" y="210" fill="#666" font-size="11" text-anchor="middle">A B and B A are the same group {A,B}</text>
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<text x="525" y="228" fill="#666" font-size="11" text-anchor="middle">so we divide by 2! = 2 orderings</text>
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<!-- Bottom summary -->
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<text x="175" y="250" fill="#e74c3c" font-size="11" text-anchor="middle">Who is 1st vs 2nd matters</text>
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<text x="175" y="268" fill="#e74c3c" font-size="11" text-anchor="middle">(president vs VP)</text>
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<text x="525" y="250" fill="#3498db" font-size="11" text-anchor="middle">Only membership matters</text>
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<text x="525" y="268" fill="#3498db" font-size="11" text-anchor="middle">(picking a committee)</text>
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</svg> |
