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

Number of ways to place 10 identical balls in 3 different boxes such that no box remains empty is

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

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 5 identical balls in into three boxes so that no box is empty (each box being large enough to accommodate all balls), 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) .

Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball.