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Choose k distinct elements from an n-element set without order, for integers 0≤k≤n. Each chosen subset corresponds to k!(n−k)! full permutations. Repetition-allowed selections are a different counting problem and need their own assumptions.
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From 258 to 332 seconds, each grid path is mapped to a unique step string, illustrating the encoding behind choosing positions; the source refers elsewhere for the final combination count.
A reviewed path from functions and finite counting to arrangements, selections, divisibility and the Euclidean algorithm. Every new concept is paired with verified video evidence, while the prerequisite arrows describe this map’s editorial learning order.