How many combinations of students are possible if the group is to consist of all members of the same class?
36
28
7
1
none
The students can be either from freshmen or sophomores or juniors. So the number of combinations of students = 6C6 +7C6 +8C6 =36.
How many combinations of students are possible if the group is to consist of exactly 2 freshmen?
How many combinations of students are possible if the group is to consist of exactly 3 freshmen and 2 juniors?
How many combinations of students are possible if the group is to consist of an equal number of freshmen, sophomores, and juniors?
There are 15 juniors and 21 seniors in the Service Club. The club has to send four representatives to the State Conference.
(i) How many different ways are there to select a group of four students to attend the conference?
(ii) If the members of the club decide to send two juniors and two seniors, how many different groupings are possible?