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

in how many ways can 7 people be seated at a round table if 12 particular people must not sit next to each other?

Open in App
Solution

REF. Image.
7 boys on a round table
n!n [for n boys]
[ round table]
PTotal=6!
PTotal=7!7
For 2 boys together
consider a block arrangement
5!×2! permutation
=240
P2boys together
6!×2!6=P2 boys together
For 2 particular boys apart,
PTotalP2 boys together
=6!5!×2
=4×5!
=480

1063668_876535_ans_863d0d3fb2c54f7db159fafea5cfab89.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon