Question

The number of ways of distriuting 8 identical balls in 3 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

Put one ball in each box first. Remaining 5 identical balls can be distributes in 3 boxes in ${}^7{C}_2$
which is equal to 21