How To Solve Cicular Permutation Questions Quickly
July 29, 2023
How to solve Circular Permutation Questions Quickly
Here on this page you will get the all the helpful Insights on How to Solve Circular Permutation Questions Quickly along with sample Circular Permutation Questions given on this page.
About Circular Permutation:Circular Permutation of an arrangement in a closed loop can be calculated by the formula ,(n-1) ! where n is the number of items.
Definition & How to Solve Circular Permutation
Combination is an arrangement of objects where order does not matter.
There are also arrangements in closed loops, called circular arrangements
Type 1: Find the greatest or smallest number.
Question 1. Anuradha invited her 5 friends for dinner. In how many ways she can make them sit around a circular table?
Options
120
12
24
72
Solution: Number of arrangements possible = (n − 1)!
= (5 – 1)!
= 4!
= 24
Correct option: 3
Question 2. A gardener wants to plant some Neem trees around a circular pavement. He has 7 different size of Neem trees. In how many different ways can the Neem tree be planted?
Options
2520
2400
5040
720
Solution: Number of arrangements possible = (n − 1)!
= (7 – 1)!
= 6!
= 720
Correct option: 4
Question 3. In how many ways can 4 men and 4 women be seated at a circular table so that no 2 women sits together?
Options
414
120
240
144
Solution: 4 men may be seated in 3! ways, leaving one seat empty. Then at remaining 4 seats, 4 women can sit in 4! ways.
= 3! x 4!
= 3 x 2 x 1 x 4 x 3 x 2 x 1
= 6 x 24
= 144
Correct option: 4
Prime Course Trailer
Related Banners
Get PrepInsta Prime & get Access to all 200+ courses offered by PrepInsta in One Subscription
Login/Signup to comment