Question

The number of ways of distributing 8 identical balls in 3 distinct boxes,so that none of the boxes is empty is

Answer 1

Answer:

the no. of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty can be found out by finding the hcf of 8 and 3.

by using Euclid's division algorithm,

here, 8 > 3

step 1 : 8 = 3 × 2 + 2

step 2 : 3 = 2 × 1 + 1

step 3 : 2 = 1 × 2 + 0

hence reqd. no. of ways = 1