Question

The number of ways to distribute 10 identical apples among 4 children such that every child receives at least one apple is:

• A. \( {}^{13}C_3 \)
• B. \( {}^9C_3 \)
• C. \( {}^{10}C_4 \)
• D. \( {}^{14}C_4 \)

Hint:

To remember the "at least one" case, imagine placing 10 stars in a row. There are 9 gaps between them. To divide them into 4 groups, you need to choose 3 gaps to place "bars." Hence, \( {}^9C_3 \).

Answer 1

The Correct Option is B