Allied & ICAR Exam Bank • ALLIED_2508 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In how many ways can 12 identical coins be distributed among 3 children such that each child receives at least 2 coins?

Answer Key:

28

Step-by-Step Solution & Explanation

Give 2 coins to each child first (uses 6 coins). Remaining 6 coins distributed among 3 children: Stars and bars formula $^{n + k - 1}C_{k - 1} = ^{6 + 3 - 1}C_{3 - 1} = ^8C_2 = \frac{8 \times 7}{2} = 28$.
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