SOLUTION: In how many ways can 6 girls and 2 boys be seated in a circular table with boys seated to next each other?

Algebra.Com
Question 1190222: In how many ways can 6 girls and 2 boys be seated in a circular table with boys seated to next each other?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
In math class 'round table' or 'circular table' problems, 
these are all considered the same seating arrangement. In 
reality, they shouldn't be, but this is math class, not 
reality!  J

Going around clockwise.
There are 6 ways to choose a girl for the 1st seat marked G. Then,
there are 5 ways to choose a girl for the 2nd seat marked G. Then,
there are 4 ways to choose a girl for the 3rd seat marked G. Then,
there are 3 ways to choose a girl for the 4th seat marked G. Then,
there are 2 ways to choose a girl for the 5th seat marked G. Then,
there is  1 way to choose the last girl for the 6th seat marked G.
Now seat the boys,
There are 2 ways to choose a boy for the 1st seat marked B. Then,
there is  1 way to choose the other boy for the 2nd seat marked B.

Multiply all those numbers together:

(6)(5)(4)(3)(2)(1)•(2)(1)

Edwin
RELATED QUESTIONS

In how many ways can 6 boys and 5 girls be seated in a circular... (answered by ikleyn)
In how many ways can a teacher seat 4 girls and 2 boys in a row of 6 seats if the 2 boys... (answered by ewatrrr)
In how many ways can 3 boys and 3 girls be seated at a round table if each girl is to be... (answered by MathLover1,ikleyn,Edwin McCravy)
2 girls and 4 boys are to be seated in a row of 5 chairs. Find the number of ways they... (answered by ikleyn)
In how many ways can 4 boys and 4 girls be seated in a row if a. they can seat anywhere... (answered by mccravyedwin)
in how many ways can 4 boys and 3 girls be seated in a row of 7 seats if end seats are... (answered by stanbon)
In how many ways can 2 boys and 5 girls be seated in a row, such that the boys do not sit (answered by robertb)
in how many ways can 4 boys and 2 girls be seated if i)the 2 girls are to seat next to... (answered by Edwin McCravy)
In how many ways can five boys and six girls be seated in a row of eleven seats so that... (answered by stanbon)