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  • From 6 different novels and 3 different dictionaries, 4 novels and a dictionary are to be selected and arranged in a row on the shelf such that the dictionary is in the middle. What is the number o

From 6 different novels and 3 different dictionaries, 4 novels and a dictionary are to be selected and arranged in a row on the shelf such that the dictionary is in the middle. What is the number of such arrangements?

 

Option: 1

1080


Option: 2

1200


Option: 3

2500


Option: 4

4634


Answers (1)

best_answer

4 novels can be selected from 6 novels in 6 \mathrm{C} 4 ways.
1 dictionary can be selected from 3 dictionaries in 3 \mathrm{C} 1 ways.
As per the given, the dictionary selected is fixed in the middle.
Therefore, the remaining 4 novels can be arranged in 4 !
Hence, the required number of ways of arrangement = 6 P_4 \times 3 P_1 \times 4 !=1080
 

 

Posted by

Gautam harsolia

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