Of the four teams in a softball league, one team has four pitchers and the other teams have three each. Give the counting rules that apply to determine each of the following.
(a) The number of possible selections of pitchers for an all-star team, if exactly four pitchers are to be chosen.
(b) The number of possible selections if one pitcher is to be chosen from each team.
(c) The number of possible selections of four pitchers, if exactly two of the five left-handed pitchers in the league must be selected.
(d) The number of possible orders in which the four pitchers, once they are selected, can appear (one at a time) in the all-star game.
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