Questions
A gentleman invites 13 guests to a dinner and places 8 of them at one table and remaining 5 at the other, the tables being round. The number of ways he can arrange the guests is
detailed solution
Correct option is D
The number of ways in which 13 guests may be divided into groups of 8 and 5 = 13C5=13!5!8!Now, corresponding to one such group, the 8 guests may be seated at one round table in (8 – 1)! i.e., 7! ways and the five guests at the other table in (5 – 1)! i.e., 4! ways.But each way of arranging the first group of 8 persons can be associated with each way of arranging the second group of 5, therefore, the two processes can be performed together in 7! × 4! ways.Hence, required number of arrangements=13!5!8!×7!×4!=13!5⋅4!8⋅7!×7!×4!=13!40Similar Questions
The total number of ways of dividing distinct objects into n equal groups is
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests