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

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

Statement-1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is ""^(9)C_(3) . Statement-2: The number of ways of choosing any 3 places from 9 different places is ""^(9)C_(3) .

The number of ways of distributing 5 identical balls in into three boxes so that no box is empty (each box being large enough to accommodate all balls), is

The number of ways of distributing 7 different balls into 5 different boxes.So that no box is empty and order of putting the balls in the boxes is considered is 15n. The value of n is

Number of ways of placing 5 identical balls in 3 distinct boxes so that any box contains any number of balls is