In a row of 30 seats, six team of 4 persons each will be seated. The members of any one team always sit together in four consecutive seats in the same order. Different teams may be adjacent or separated by empty seats. In how many ways can the six teams be seated in the 30 seats? Choose the correct choice from the following answers:  A) (6!)(6!)  B) 12!/6!  C) 12C6  D) 30C12  E) 30C6*6
There are total 30 seats, but 4 members of 6 different groups always sit together and in same sequence...   So the group can be taken as one seat, making the total as 12 seats..   12 seats include 6 empty chairs as total 6*4 chairs are filled in 30 seats and these 6 seats will be identical while the other 6 would be different as each consists of different group..   Ans 12!/6!   12!/6!
<result>B</result>
In a row of 30 seats, six team of 4 persons each will be seated. The members of any one team always sit together in four consecutive seats in the same order. Different teams may be adjacent or separated by empty seats. In how many ways can the six teams be seated in the 30 seats?