In how many different ways can 5 boys and 2 girls sit on a bench such that the girls always sit together?
Choose the correct choice from the following answers:
A) 360
B) 720
C) 1440
D) 1800
E) 2160
We can think of the girls as one unit.   The number of ways to arrange 6 units in order is 6!   The girls can have different arrangements, so we multiply this by 2!   The number of ways to sit is 6!*2!=1440   The answer is 1440.
<result>C</result>
In how many different ways can 5 boys and 2 girls sit on a bench such that the girls always sit together?