In how many different Q ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Choices.
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 Q= (4!)^2 = 576 or 576
<result>C</result>
In how many different Q ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?