Define a sample space and count the number of sample points for each of the following experiments:
(a) Select at random a catcher, pitcher, first baseman, and second baseman from a group of 15 baseball players.
(b) Select at random a chairman and a deputy chairman from a department of 40 professors.
(c) Select at random a best-tasting, a second-best-tasting, and a worst-tasting wine from a selection of 20 different types of wine.
(d) The possible scores on a certain test are H, P, and F, for High Pass, Pass, and Fail, respectively. Give this test to two students and record their scores on the test.
(e) Toss a coin until a head appears, and record the number of tosses required.