4) There are 5 girls and 6 boys seated in a row:
a) How many different ways can they be seated?
b) How many different ways can they be seated if all the boys are to be seated next to each other?
c) How many different ways can they be seated if a particular boy and girl have to be seated next to
each other?
d) How many different ways can they be seated if a particular boy and girl cannot be seated next to each
other?
What is the probability that all the girls are seated next to each other?