Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
695 views
in Combinations by (44.1k points)
closed by

A committee of 10 members sits around a table. Find the number of arrangements that have the President and the Vice-president together.

1 Answer

+1 vote
by (44.2k points)
selected by
 
Best answer

A committee of 10 members sits around a table. But, President and Vice-president sit together. Let us consider President and Vice-president as one unit. They can be arranged among themselves in 2! ways. Now, this unit with the other 8 members of the committee is to be arranged around a table, which can be done in (9 – 1)! = 8! ways.

∴ Required number of arrangements = 8! × 2! = 2 × 8!

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...