In how many different W ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?  Choose the correct choice from the following options: 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 W= (4!)^2 = 576 or 576
<result>C</result>
In how many different W ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?