wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

There are 9 chairs in a room on which 6 persons are to be seated, out of which one is guest with one specific chair. In how many ways they can sit?


A

6720

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

60480

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

346

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

6720


Explanation of the correct option

Given, there are 9 chairs and 6 persons to be seated and One chair is specific for the guest.

Thus, we have 8 chairs and 5 persons to be seated and these 5 person can change their position among them.

Therefore, total number of ways is

=C58×5!=8!5!×3!×5!=8×7×6×5×4×3!3!=6720

Hence option A, 6720 is the correct option.


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Word Problems on GCD
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon