1.There are 20 candidates for an all-star basketball game and 5 will be selected for the first team. How many different first team can be chosen?

2.A basketball team has 5 starters selected from the 12 players.

a.How many starting teams are possible?

b.How many starting teams are possible if two of the players' contracts specify that they must start every game?

3.How many different routes are possible if ten intersections are encountered?

4.Of the 110 enrolled in a class, 60 are freshman, 7 are veterans, 65 are enrolled in business, 2 are freshmen who are veterans, 5 are veterans who are enrolled in business, 32 are freshmen who are enrolled in business, and two are freshmen who are veterans and enrolled in business.

a.How many are freshmen and veteran but are not enrolled in business?

b.How many are freshmen but neither veteran nor enrolled in business?

c.How many are neither freshmen nor veteran nor enrolled in business?

5.Draw a tree diagram:

In how many ways can the scholarship committee select 2 of the 5 students so that one student is awarded Php10, 000 and the other Php5, 000?