Question

The ratio between the number of ways we can arrange n persons in a circular manner to the number of ways we can arrange them in a line is
a. 1:n
b. n:1
c. 1:1
d. 1:2

Answer 1

Answer:

1 : n

Step-by-step explanation:

As we know ,

The number of ways in which we can arrange n persons in a circular manner is : (n-1)!

The number of ways in which we can arrange n persons in a line is : n!

Hence ,

RATIO :

(n-1) ! = (n-1)! = 1 = 1:n

n ! n(n-1)! n

Answer 2

Answer: the answer is 1:n

Step-by-step explanation:

the no of ways we can arrange n no of persons in a circular manner is (n-1)!

the no ways we can arrange n no of persons in a line is n!

then the ratio between them=(n-1)!/n!

we know that n!=n(n-1)!

then we can get 1:n ratio

hope my answer is helpful and correct