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
