In: Statistics and Probability
Two boys and three girls enter a music hall and take five seats at random in a row.
1) How many different ways can they sit in a row?
2)What is the probability the girls will take the end two seats?
3) What is the probability that the boys will sit together and the boys will sit together?
4)How many different ways can they sit alternately, like BGBGB or GBGBG
5) How many different ways can they sit if the seats are arranged in a circle?