📐 Mathematics · Permutations and Combinations · JEE

The number of ways to distribute 10 identical balls into 3 distinct boxes with each box non-empty is:

Answer: 36.

Correct answer: A. 36

Explanation: Stars and bars with each ≥ 1: C(10−1, 3−1) = C(9,2) = 36.

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

Concept context

Counting, arrangements, and selections