Combinatorics · Non adjacent selections · Bijections · Binary strings · Binomial coefficients
There are \(14\) books standing in a row on a shelf. In how many ways can \(5\) of them be chosen so that no two of the chosen books stand next to each other?
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Serbian Municipal Competition 2008, high school grade I, category A, problem 5. Organized by the Mathematical Society of Serbia (DMS). Source