The problem of seating 4 people in 6 empty seats results in 360 unique combinations. This is calculated using the permutation formula 6P4, which accounts for the sequential placement of individuals in available seats. The calculation follows the logic of selecting a seat for each person, starting with 6 options for the first, then 5 for the second, 4 for the third, and finally 3 for the fourth, leading to the equation 6 x 5 x 4 x 3 = 360.
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