Seven people (A,B,C,D,E, F, and G) are seated in a row. Suppose A,B, and C are...

Seven people (A,B,C,D,E, F, and G) are seated in a row. Suppose A,B, and
C are freshmen, D and E are sophomores and F and G are juniors. How many
arrangements are possible if:
(a) D and F must sit together?
(b) A and C must not sit together?
(c) All freshmen must sit together?
(d) All freshmen must sit together, all sophomores must sit together, and all
juniors must sit together?
(e) Exactly two people sit between A and B?

Expert Solution

orchestra answered 1 year ago

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