COMBINATIONS
(Problems, Problems, Problems)
EXAMPLE #1
Determine the number of ways a team of 6 volleyball
players can be chosen from a roster of 5 setters and
8 hitters if:
a) anyone can play;
b) Spike Theballo must be on
the team;
c) the team must consist of 2 setters and 4 hitters.
EXAMPLE #2
Five cards are chosen from a standard 52-card deck.
Determine the number of different 5-card hands with:
a) no restrictions;
b) red cards only;
c) exactly 2 black cards;
d) two hearts and 3 spades.
EXAMPLE #3
From a group of 5 teachers, 3 students, and 6
parents, a committee of 4 is selected. Determine the
number of committees that can be formed if there
are:
a) no restrictions;
b) exactly 2 parents
on the committee;
c) at least 2 parents
on the committee;
d) only parents or only students
on the committee;
e) 2 teachers, 1 parent, and 1 student on the committee.
HOMEWORK: p.280 – 281 #13 – 20