wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

There are 10 persons sitting around a circular table from which three persons are selected for the board of directors. The number of ways to select them such that no two persons are adjacent to each other is

Open in App
Solution

Let the number of required ways be r.
Number of ways to select 3 persons without restrictions = 10C3
Number of ways to select three members together = 10
Number of ways to select two members together and one member separately = 10×6C1
Then,
r=10C3(10+10×6C1)
r=50

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