In how many different ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
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 themselvesAnswer = (4!)^2 = 576 or C
1) Algebra-101 2) Sequences 3) Set combinatorics 4) 3-D geometry
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