📐 Mathematics · Permutations and Combinations · JEE

The number of ways to seat 5 boys and 3 girls in a row so that no two girls are adjacent is:

Answer: 14400.

Correct answer: B. 14400

Explanation: Arrange 5 boys: 5! = 120. Choose and fill 3 of the 6 gaps: 6·5·4 = 120. Total 120·120 = 14400.

Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.

Concept context

Counting, arrangements, and selections