miniaufgabe.js
==== 3. März 2025 bis 7. März 2025 ====
=== Montag 3. März 2025 ===
Berechnen Sie von Hand:miniAufgabe("#exobinomial_koeffizient_von_hand","#solbinomial_koeffizient_von_hand",
[["$\\displaystyle \\binom{7}{4} \\qquad$", "$\\binom{7}{4} = \\frac{7!}{4! \\cdot 3!} = \\frac{5\\cdot6\\cdot7}{1\\cdot2\\cdot3} = 35$"], ["$\\displaystyle \\binom{8}{5} \\qquad$", "$\\binom{8}{5} = \\frac{8!}{5! \\cdot 3!} = \\frac{6\\cdot7\\cdot8}{1\\cdot2\\cdot3} = 56$"], ["$\\displaystyle \\binom{9}{5} \\qquad$", "$\\binom{9}{5} = \\frac{9!}{5! \\cdot 4!} = \\frac{6\\cdot7\\cdot8\\cdot9}{1\\cdot2\\cdot3\\cdot4} = 126$"], ["$\\displaystyle \\binom{9}{6} \\qquad$", "$\\binom{9}{6} = \\frac{9!}{6! \\cdot 3!} = \\frac{7\\cdot8\\cdot9}{1\\cdot2\\cdot3} = 84$"], ["$\\displaystyle \\binom{9}{7} \\qquad$", "$\\binom{9}{7} = \\frac{9!}{7! \\cdot 2!} = \\frac{8\\cdot9}{1\\cdot2} = 36$"], ["$\\displaystyle \\binom{10}{7} \\qquad$", "$\\binom{10}{7} = \\frac{10!}{7! \\cdot 3!} = \\frac{8\\cdot9\\cdot10}{1\\cdot2\\cdot3} = 120$"], ["$\\displaystyle \\binom{10}{8} \\qquad$", "$\\binom{10}{8} = \\frac{10!}{8! \\cdot 2!} = \\frac{9\\cdot10}{1\\cdot2} = 45$"], ["$\\displaystyle \\binom{11}{9} \\qquad$", "$\\binom{11}{9} = \\frac{11!}{9! \\cdot 2!} = \\frac{10\\cdot11}{1\\cdot2} = 55$"], ["$\\displaystyle \\binom{12}{10} \\qquad$", "$\\binom{12}{10} = \\frac{12!}{10! \\cdot 2!} = \\frac{11\\cdot12}{1\\cdot2} = 66$"], ["$\\displaystyle \\binom{13}{11} \\qquad$", "$\\binom{13}{11} = \\frac{13!}{11! \\cdot 2!} = \\frac{12\\cdot13}{1\\cdot2} = 78$"], ["$\\displaystyle \\binom{14}{12} \\qquad$", "$\\binom{14}{12} = \\frac{14!}{12! \\cdot 2!} = \\frac{13\\cdot14}{1\\cdot2} = 91$"], ["$\\displaystyle \\binom{15}{13} \\qquad$", "$\\binom{15}{13} = \\frac{15!}{13! \\cdot 2!} = \\frac{14\\cdot15}{1\\cdot2} = 105$"], ["$\\displaystyle \\binom{16}{14} \\qquad$", "$\\binom{16}{14} = \\frac{16!}{14! \\cdot 2!} = \\frac{15\\cdot16}{1\\cdot2} = 120$"]], "
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ruby binomialkoeffizienten.rb 3
=== Donnerstag 6. März 2025 ===
Exkursion ins Technorama, Keine Miniaufgabe.