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Indian raga music

Source: UMD 2023 Part II Problem 1

November 30, 2023
combinatoricscombination

Problem Statement

An Indian raga has two kinds of notes: a short note, which lasts for 11 beat and a long note, which lasts for 22 beats. For example, there are 33 ragas which are 33 beats long; 33 short notes, a short note followed by a long note, and a long note followed by a short note. How many Indian ragas are 11 beats long?