PROBLEM SOLVING with COMBINATIONS
(Part 2)
EXAMPLE #1
Determine the number of ways a study group of 4 students can
be selected from a group of 6 boys and 5 girls if:
a) there are NO restrictions;
b) there are exactly 2 boys in the study group;
c) there is at least 1 girl in the study group.
METHOD 1: CASES
METHOD 2: INDIRECT METHOD
d) there is at least 1 girl and 1 boy in the study group;
e) Barney must be in the study group;
f) Barney must NOT be in the study group.
EXAMPLE #2 In Euchre, 24 cards are used (9  ACE). Determine the number
of 5-card hands that are possible if:
a) there are NO restrictions;
b) all the cards are red;
c) exactly one 9 must be included;
d) at least 2 black cards must be included;
e) at most 2 black cards must be included.
EXAMPLE #3 Barney is distributing snacks to 15 children at the Bedrock
Daycare. If he has 7 apples, 6 oranges, and 2 boxes of raisins,
determine the number of different ways the snacks can be
distributed.
HOMEWORK: p.287-288 #6b, 8 – 10, 12, 15, 17, 18, 22