Multiple choice general knowledge math & puzzles

There are four boys & three girls sitting in a row. Then what is the probability that all boys get an alternate place

  1. 1/35

  2. 1/12

  3. 1/5

  4. 1/4

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total arrangements: 7! = 5040. For alternate seating: Pattern 1 (BGBGBGB): 4! × 3! = 144. Pattern 2 (GBGBGBB): remaining 3 boys in 4 slots with no two adjacent = tricky but also 4! × 3! = 144. Total = 288, probability = 288/5040 = 1/17.5. However, the answer key says 1/35, which assumes specific constraints.