In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate:

Arrange 4 boys and 3 girls alternately in a row (e.g., B G B G B G B). There are 4 boy positions and 3 girl positions. Boys can be arranged in (4! = 24) ways, girls in (3! = 6) ways. Total = (24 \cdot 6 \cdot 2 = 144) (accounting for two possible patterns: BGBGBGB or GBGBGBG). Studying this highlights combinatorics, providing lessons on seating arrangements for event planning.