Graduate Management Admission Test (GMAT) Practice Test

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How do you calculate the number of possible pairings between different vocal ranges in a concert?

By adding the combinations of similar ranges
By multiplying the counts of each range
By adding the product of different combinations together
By finding the average number of ranges available

The correct answer is: By adding the product of different combinations together

To determine the number of possible pairings between different vocal ranges in a concert, the correct approach involves adding the product of different combinations together. This calculation takes into account the individual combinations of each vocal range and aggregates them to represent the total number of potential pairings. When you have multiple vocal ranges, each range can partner with each of the others. For example, if you have a certain number of singers in tenor, alto, and soprano ranges, you multiply the number of singers from one range by the number of singers from another range to find how many unique pairs can be formed. After calculating these products for all unique combinations of different vocal ranges, you sum them up to obtain the total pairings. This method captures the unique interactions between each distinct range, thus leading to a comprehensive total. Using the product and additions allows for a thorough understanding of how each combination contributes to the overall number of pairings, which is essential when analyzing different set groupings in concert scenarios.