a thought abroad

Running Sweden Switzerland Technology Travelling United Kingdom

20. Mai 2010

Eine weitere Identität für Binomialkoeffizienten

Keine besonders umwerfende Erkenntnis, aber diese Identität hat mir letztens weitergeholfen:

$cf3a46d2a960b02b6070bfd65b6cbaba6fd2c227$

Man denke hier an die Anzahl der Möglichkeiten, zugleich a Positionen für nicht-unterscheidbare weiße Kugeln und b Positionen für nicht-unterscheidbare schwarze Kugeln aus n möglichen unterscheidbaren Positionen zu ziehen.

Beweis:

$7efb02440c5597c9ede0634e7309498a79683150$

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