[9" balls are to be placed in "9],[" boxes; and "5" of the balls cannot "],[" fit into "3" small boxes.The "],[" number of ways of arranging one "],[" ball in each of the boxes is "]

9 balls are to placed in 9 boxes : and 5 of the balls cannot fit into 3 small boxes the number of ways of arranging one ball in each of the boxes is

7balls (distinct) are to be placed in 7 boxes (distinct) and 4 of the balls can not fit into 2 small boxes.The number of ways of arranging one ball in each of the boxes is X .Let P be the probability of selected divisor in the list of divisors of X is in the Form of 4n+1 ,then find 6P (where n in N)

Five balls are to be placed in three boxes in how many diff. ways can be placed the balls so that no box remain empty if .

Five balls are to be placed in three boxes in how many diff.ways can be placed the balls so that no box remains empty if (i) balls and boxes are diff,(ii) balls identical and boxes diff.(iii) balls diff and boxes identical (iv) balls as well as boxes are identical

Five balls are to be placed in three boxes in how many diff. ways can be placed the balls so that no box remains empty if (i) balls and boxes are diff, (ii) balls identical and boxes diff. (iii) balls diff and boxes identical (iv) balls as well as boxes are identical

There are 4 balls of different colour and 4 boxes of colours the same as those of the balls. Find the number of ways to put one ball in each box so that only two balls are in boxes with respect to their colour.