Question

$9$ 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

• A. $18720$
• B. $182730$
• C. $17280$
• D. $12780$

Answer 1

The correct option is C

$17280$

Explanation for correct options:

Given: $9$ balls are to be placed in $9$ boxes and $5$ of the balls cannot fit into $3$ small boxes.

Number of ways of arranging one ball in each of the boxes

$={}^{6}P_5\times 4!$

$=720\times 24$

$=17280$

Hence, Option C is correct.