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Understanding the Context

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The problem requires us to determine the number of ways to choose $2$ minerals from $4$ distinct types. This is a combination problem, where order does not matter, and is calculated using the combination formula:
An astrophysicist is observing a cluster of $6$ stars, each with a unique spectral signature. If he wants to form a constellation by selecting $4$ stars, in how many different ways can he arrange these $4$ stars in sequence?
First, we select $4$ stars from the $6$ available. The number of ways to choose $4$ stars from $6$ is given by the combination formula:

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