Page 205 - Math Course 3 (Book 2)

Permutations and Combinations
Mo. 12

Lesson 6
Let’s Begin

KEY CONCEPTS:
Tree Diagram Permutation
1. Determine probabilities using permutations.
2. Determine probabilities using combinations. Example

MO. 12 - L6a Ms. Baraza asks pairs of students to read
statements in Spanish, and then translate the
statements into English. If Ms. Baraza chooses
Using Permutations pairs between Jeff, Kathy, Guillermo, Ana, and
Patrice, how many different ways can she pair
the students?

Use a tree diagram to show the possible
Vocabulary A-Z arrangements.

Let us learn some vocabulary
Spanish Speaker English Speaker Outcomes
Kathy JK
permutation Guillermo JG
An arrangement or listing in which order or Jeff
placement is important is called a permutation. Ana JA
Patrice JP
Counter Drive-Through Outcomes Jeff KJ
Bob KB
Katie(K) Guillermo KG
Alicia KA Kathy
Katie BK Anna KA
Bob(B)
Alicia BA Patrice KP
Katie AK Jeff GJ
Alicia(A)
Bob AB Kathy GK
Guillermo
Anna GA

Patrice GP
Jeff AJ
Key Concept Kathy AK
Ana
Guillermo AG

Permutation Patrice AP
Jeff PJ
Words The number of permutations of n Kathy PK
objects taken r at a time is the quotient Patrice
of n! and (n – r)!. Guillermo PG
Ana PA
Symbols P = n!
n r (n – r)!
There are 20 different ways for
Answer
the 5 students to be paired.

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