Cases and Complements 1. A group of four animals will be selected for adoption from a group of 10 dogs and 5 cats. (a) FIRST COMPLETE THE TABLE OF ALL CASES BELOW: Calculation Case (10) Dogs (5) Cats # of ways A C D E F GRAND ТОTAL Now answer the questions that follow. In how many ways can we... (b) Select four animals to be adopted? (c) Select four animals if exactly three of them are dogs? (d) Select four animals such that there are more cats than dogs? • Solve this problem using CASES Solve this problem using COMPLEMENTS (confirm the answer you found above)

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Cases and Complements
1. A group of four animals will be selected for adoption from a group of 10 dogs and 5 cats.
(a) FIRST COMPLETE THE TABLE OF ALL CASES BELOW:
Case
(10) Dogs
(5) Cats
Calculation
# of ways
C
E
F
GRAND
ТОТAL
Now answer the questions that follow.
In how many ways can we...
(b) Select four animals to be adopted?
(c) Select four animals if exactly three of them are dogs?
(d) Select four animals such that there are more cats than dogs?
• Solve this problem using CASES
• Solve this problem using COMPLEMENTS (confirm the answer you found above)
2. Given a standard deck of 52 cards. A player will be dealt 5 cards.
(a) FIRST COMPLETE THE TABLE OF ALL CASES BELOW:
Calculation
Case
(4) Jacks
(48) Non-Jacks
# of ways
B
D
E
F
GRAND
ТОTAL
How many possible five card poker hands can be dealt consisting of:
(b) Any five cards drawn from the complete deck?
(c) Not more than 3 Jacks in the hand.
• Solve this problem using CASES
• Solve this problem using COMPLEMENTS (confirm the answer you found above)
Transcribed Image Text:Cases and Complements 1. A group of four animals will be selected for adoption from a group of 10 dogs and 5 cats. (a) FIRST COMPLETE THE TABLE OF ALL CASES BELOW: Case (10) Dogs (5) Cats Calculation # of ways C E F GRAND ТОТAL Now answer the questions that follow. In how many ways can we... (b) Select four animals to be adopted? (c) Select four animals if exactly three of them are dogs? (d) Select four animals such that there are more cats than dogs? • Solve this problem using CASES • Solve this problem using COMPLEMENTS (confirm the answer you found above) 2. Given a standard deck of 52 cards. A player will be dealt 5 cards. (a) FIRST COMPLETE THE TABLE OF ALL CASES BELOW: Calculation Case (4) Jacks (48) Non-Jacks # of ways B D E F GRAND ТОTAL How many possible five card poker hands can be dealt consisting of: (b) Any five cards drawn from the complete deck? (c) Not more than 3 Jacks in the hand. • Solve this problem using CASES • Solve this problem using COMPLEMENTS (confirm the answer you found above)
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