How many different ways can five boys and three girls be seated in a row if all the boys must sit together?

Explanation

Consider the group of five boys as a single block. Along with the three girls, this forms four units to arrange, which can be done in 4! ways. The five boys within their block can be rearranged among themselves in 5! ways. Therefore, the total number of seating arrangements is 4! × 5! = 24 × 120 = 2880.