Q. The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is
A) 5
B) 21
C) $3^{8}$
D) $\ ^{8}C_{3}$
Explanation
(b)
The required number of ways $= \ ^{8 - 1}C_{3 - 1} = \frac{7!}{2!5!} = 21$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.