Question

The number of ways of distributing eight identical balls in three distinct boxes so that none of the boxes is empty is

• A. 5
• B. ${}^8{C}_3$
• C. $3^8$
• D. 21

Answer 1

The correct option is D 21

The required number of ways ${=}^{8-1}{C}_{3-1}{=}^7{C}_2=\frac{7!}{2!5!}=\frac{7\times 6}{2\times 1}=21$