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Question: Answered & Verified by Expert
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
MathematicsPermutation CombinationTS EAMCETTS EAMCET 2008
Options:
  • A $18720$
  • B $18270$
  • C $17280$
  • D $12780$
Solution:
1528 Upvotes Verified Answer
The correct answer is: $17280$
Required number of arrangements
$$
\begin{aligned}
& ={ }^6 P_5 \times 4 ! \\
& =720 \times 24 \\
& =17280
\end{aligned}
$$

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