In how many different E ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?  Answers:
A) 70
B) 288
C) 576
D) 10,080
E) 20,160
Treat the 4 ladies as one object, now you have 5 objects to arrange around a table (m1,m2,m3,m4,women). This can be done in (5-1)! ways   And there are 4! ways to arrange ladies among themselves   Answer E= (4!)^2 = 576 or 576
<result>C</result>
In how many different E ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?