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How many pairings of performers are possible for an opera concert with singers of different vocal ranges?

  1. 27

  2. 30

  3. 37

  4. 45

The correct answer is: 37

To determine the number of pairings of performers for an opera concert with singers of different vocal ranges, it is essential to consider how these performers can be combined into pairs. Assuming specific vocal ranges like soprano, alto, tenor, and bass, if each category has a certain number of performers, the total pairings would typically be computed using combinations. For instance, if there are multiple singers in each vocal range, you would be looking at forming pairs between singers from different vocal ranges. Consider an example where there are 3 singers in the soprano category, 3 in the alto, 4 in the tenor, and 3 in the bass. The number of pairings between these singers from different ranges can be calculated as: - Soprano and Alto: 3 (sopranos) × 3 (altos) = 9 pairings - Soprano and Tenor: 3 (sopranos) × 4 (tenors) = 12 pairings - Soprano and Bass: 3 (sopranos) × 3 (basses) = 9 pairings - Alto and Tenor: 3 (altos) × 4 (ten

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