## Problem 27RE Chapter 4

Elementary Statistics: A Step By Step Approach | 9th Edition

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Elementary Statistics: A Step By Step Approach | 9th Edition

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Problem 27RE

Automobile License Plate An automobile license plate consists of 3 letters followed by 4 digits. How many different plates can be made if repetitions are allowed? If repetitions are not allowed? If repetitions are allowed in the letters but not in the digits? (4–4)

Step-by-Step Solution:
Step 1 of 3

Solution 27RE

Step1 of 4:

The number of letters consists an automobile license plate = 3. And it is followed by 4 digits.

Here our goal is:

a). We need to check how many different plates can be made. When repetitions are allowed.

b). We need to check how many different plates can be made. When repetitions are not allowed.

c). We need to check how many different plates can be made. When repetitions are allowed in the letters but not in the digits.

Step2 of 4:

a).

The number of letters in english language = 26. So, with repetitions there can be:

Digits 0 through 9 are allowed. So, with repetitions there can be:

When repetitions are allowed then,

Therefore, There are 175760000 different plates can be made.

Step3 of 4:

b).

Suppose repetitions are not allowed. The first letter is 1 of 26, 1 of 25, 1 of 25. Then,...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073534985

This full solution covers the following key subjects: allowed, Repetitions, letters, digits, plate. This expansive textbook survival guide covers 33 chapters, and 1015 solutions. The full step-by-step solution to problem: 27RE from chapter: 4 was answered by , our top Statistics solution expert on 09/01/17, 05:46AM. Since the solution to 27RE from 4 chapter was answered, more than 231 students have viewed the full step-by-step answer. The answer to “Automobile License Plate An automobile license plate consists of 3 letters followed by 4 digits. How many different plates can be made if repetitions are allowed? If repetitions are not allowed? If repetitions are allowed in the letters but not in the digits? (4–4)” is broken down into a number of easy to follow steps, and 44 words. This textbook survival guide was created for the textbook: Elementary Statistics: A Step By Step Approach , edition: 9th. Elementary Statistics: A Step By Step Approach was written by and is associated to the ISBN: 9780073534985.

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