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## If 2 of the people don’t like sitting backwards, in how many ways can they be arranged?

In a train there are 8 seats, with 4 facing the front and 4 facing backwards.

If 5 people sit down in the carriage, how many different ways can they be seated?

a) If 2 of the people don’t like sitting backwards, in how many ways can they be arranged?

b) Find the probability that two particular people will sit opposite each other.