Circular Permutation

Q. The number of ways in which 8 red roses and 5 white roses of different sizes can be made out to form a garland so that no two white roses come together is

1. 
2. 
3. 
4. 

Q.

In how many ways can five keys be put in a ring?

1. 4!

2. 5!

3. $\frac{1}{2}4!$

4. $\frac{1}{2}5!$

Q.

5 girls and 5 boys are to be seated around a circular table such that no 2 girls will sit together. The number of ways in which they can be seated around the table is

1. 

2. 

3. 

4. 

Q. The number of ways in which 8 boys be seated at a round table so that two particular boys are next to each other is

1. 8!2!
2. 7!2!
3. 6!2!
4. 6!

Q. Six boys and six girls sit in a row alternatively in x ways and at a round table (again alternatively) in y ways. Then

1. y = 12x
2. x = 2y
3. x = y
4. x = 12 y

Q. The number of ways that 7 boys can be seated round a table so that 2 particular boys are always separated, is

1. 960
2. 480
3. 720
4. 240

Q. The number of ways in which six men and five women can dine at a round table if no two women are to sit together is given by

1. 30
2. $5!\times 4!$
3. $6!\times 5!$
4. $7!\times 5!$

Q. 5 girls and 5 boys can be seated around a circular table such that no 2 girls will sit together in ways

1. 5!.4!
2. 4!.4!
3. 5.5!
4. 600

Q.

In how many ways can five keys be put in a ring?

1. 4!

2. 5!

3. $\frac{1}{2}4!$

4. $\frac{1}{2}5!$

Q. The number of ways in which 8 red roses and 5 white roses of different sizes can be made out to form a garland so that no two white roses come together is

1. 
2. 
3. 
4.