5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?

Answer: 48 Steps: For mother there are two possibilities. Any corner . And there are $$ 4! $$possibilities for other 4 members So total $$ 2\times4!=2\times4\times3\times2\times1=48 $$ different ways they can seat.