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Q.

Nine toys are to be packed in 9 boxes. If 5 of them are too big for 3 boxes, then the number of ways in which they can be packed is

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a

6! 3!  2! 

b

 6P5.4!

c

 6P5.3!

d

5! 3!

answer is A.

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Detailed Solution

There are 6 big, 3 small boxes. and 5 big articles and 4 small articles. 5 big articles can be packed in 6 big boxes. in 6p_5  ways. 4 small articles can be packed in remaining 4 boxes in 4! way. 

No. of permutations =6p5 (4!)

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Nine toys are to be packed in 9 boxes. If 5 of them are too big for 3 boxes, then the number of ways in which they can be packed is