An airline is given permission to fly $4$ new routes of its choice. The airline is considering $12$ new routes: $4$ routes in Florida, $5$ routes in California, and $3$ routes in Texas. If the airline selects the $4$ new routes at random from the $12$ possibilities, determine the probability that:
a) $2$ are in Florida and $2$ are in Texas
b) $3$ are in California and $1$ is in Florida
c) $1$ is in Florida, $1$ is in California, and $2$ are in Texas
d) at least one is in Texas.
Please can someone help me with this question?