There are 10 people lining up for a movie including three friends. Anne, Bradley and Carol.

Question

a) Determine the number of ways the line could be formed if three friends will always stand together.

b) Determine and the number of ways the line could be formed if the three friends stand together and Anne and Carol are always standing next to each other.

Answer 1

a) P(8)·P(3) = 8!·3! = 241920

b) P(8)·P(2) = 8!·2! = 80640