Question

9 balls are to be placed in 9 boxes, and 5 of the
balls can not fit into 3 small boxes. The num-
ber of ways of arranging one ball in each of
the boxes is [EAM 2008]
1) 18720 2) 18270 3) 17280 4) 12780​

Answer 1

The number of ways of arranging one ball in each of the boxes is 17280

Step-by-step explanation:

as 5 of the balls can not fit into 3 small boxes.

so we will take first 5 balls and take the 6 boxes in which they can fit

6P5 ways = 6! = 720 ways

now remaining 4 balls can be placed in 4boxes in 4! = 24 ways

total possible ways = 720*24

= 17280 ways