There are 16 competitors in a table-tennis competition, 5 of which come from Racknor
Comprehensive School. Prizes are awarded to the competitors finishing in each of first,
second and third place.
Assuming that all the competitors have an equal chance of success, find the probability that
the students from Racknor Comprehensive
(a) win no prizes,
(b) win the 1st and 3rd place prizes but not the 2nd place prize,
(c) win exactly one of the prizes.