A certain basketball team has 12 players. Five of these players are classified as guards and 7 of the players are classified as forwards/centers.
C. If the coach chooses her 5 starters at random by drawing names from a single hat, find the probability that she selects an ideal lineup with 2 guards and 3 forwards/centers.
P(2 guards and 3 forwards/centers are selected) = ___
