Casio STAT 2 Manual de usuario descargar pdf (Pagina 34)

Activity 6

License Plate Numbers

Topic Area: Probability- Permutations

NCTM Standards:

• Understand and apply basic concepts of probability

• Understand the concepts of conditional probability and independent

events (9–12)

• Understand how to compute the probability of a compound event (9–12)

Objective

The student will be able to determine the number of possible variations of license

plate numbers in their state.

Introduction

In this activity the students will learn how to use the graphing calculator to

determine permutations of license plate numbers. They will determine the

number of license plate numbers in your state (or various states).

Use the following descriptions to go through the solutions manually:

The student is asked to find the number of permutations in the seven-place

standard issue license plate in Virginia. In this case, placement is important so

the student will use the permutations equation:

n is the number of total choices the student has (in this case it would be the total

number of choices the student has in terms of letters for the first three places or

26) and k is the number of choices the student has (in this case it would be 3,

since he/she is looking for three letters). The exclamation mark means that the

number is a factorial.

Now the student is told that the vanity or specialty plates can have numbers or

letters in any of the seven places, which means that the total number of possible

choices for each place is 36 (26 letters and 10 numbers). They are asked to find

out how many seven place permutations there are now. The student should use

the same equation as before, only this time n is 36 instead of 26 and k is 7 instead

of 3.

Teaching Notes

(n – k)!

= =

(n – k)!

= = = 15600

26!

(26 – 3)!

4.03 10

2.58 10

= 15600 permutations

= =

(n – k)!

= = = 4.20 10

36!

(36 – 7)!

3.71 10

8.84 10

= 4.20 10

permutations

1 2 ... 29 30 31 32 33 34 35 36 37 38 39 ... 96 97

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Casio STAT 2 Manual de usuario Pagina 34

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