there are 7 seats around a round table, and is labelled form A to G. Find the number of ways a committee of 3 teachers and 4 parents can sit around the table?
(i ) there is no restriction
my ans is 7!=5040
(ii) all teachers must sit together
the ans is 1008. can someone explain part ii please?
in round table, any person can be taken the starting point . am i right? why we would have to times 7 in the working? in round table , the working should be (n-1)! am i right?
can i say explain in this way? since the chair is labelled from A to G (in circle), so the position of the first object placed is important. if the chairs are not labelled (in a circle), then i can ignore the 7, which means i have 3! x 4!=144