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

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

If number of ways in which 7 identical balls can be distributed into 4 boxes, so that no box remains empty is 4lamda , the value of lamda is

No.of ways in which 12 identical balls can be put in 5 different boxes in a row ,if no box remains empty is

5 balls of different colours are to be kept in 3 boxes of different sizes.Each box can hold all five balls.Number of ways in which the balls can be kept in the boxes so that no box remain empty is