JEE Main 2024 Mathematics question
The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is
Answer: (C)
Solution
Give 2 apples to each child first. The remaining 15 apples can be distributed freely among the three children in ¹⁵⁺³⁻¹C₂ = ¹⁷C₂ = 136 ways.