1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# From six different novels and three different dictionaries, four novels and one dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle. Then the number of such arrangements is

A
less than 500
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
at least 500 but less than 750.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
at least 750 but less than 1000.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
at least 1000.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D at least 1000.Four novels can be selected from six novels in 6C4 ways. One dictionary can be selected from three dictionaries in 3C1 ways. As the dictionary selected is fixed in the middle, the remaining four novels can be arranged in 4 ! ways. Hence, the required number of ways of arrangement is 6C4×3C1×4!=1080.

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Permutations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program