Page 202 - Math Course 3 (Book 2)

Counting Outcomes

Tree Diagram
MO. 12 - L5b

Answer
Counting Outcomes: Factorial

Vocabulary A-Z

Let us learn some vocabulary

factorial
The expression n!, read n factorial, where n is great-
er than zero, is the product of all positive integers
beginning with n and counting backward to 1.

10! Can be written in factorial as:
10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1
Fundamental Counting Principle
A major league team is trying to organize their
draft. In their first five rounds, they want to pick a
pitcher, a catcher, a first baseman, a third basemen,
and an outfielder. They are considering 7 pitchers,
9 catchers, 3 first baseman, 4 third baseman, and Let’s Begin
12 outfielders. How many top picks are there to
choose from?

A. 35 Factorial
B. 63
C. 99 Example
D. 9072

Answer Find the value of 9!.
9! = 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 Definition of
Counting Arrangements factorial
There are 11 people performing in a talent show. = 362,880 Simplify.
The program coordinator is trying to arrange the
order in which each participant will perform. How
many different ways can the order of performanc- Answer 362,880
es be arranged?

A. 121 Find the value of 12!.
B. 39,916,800
C. 22 12! = 12 • 11 • 10 • 9 • 8 • 7 • 6 • Definition of
D. 35,000,000 5 • 4 • 3 • 2 • 1 factorial

= 479,001,600 Simplify.
Answer

Answer 479,001,600

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