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Probability

8. You just bought a new safe: It has a key pad with 26 letters on it. The code is 4 random letters
a. How many different codes are there for you to select from if no letter can be used more than once?

b. If no letter can be used more than once. Does Order Matter?

c. If the manufacturer decided to reduce the code from 4 to 3 (no repeats) how many codes are there then?
d. If letters can be used multiple times (4 inputs), how many different codes are available?

e. If letters can be used multiple times (4 inputs), and the first letter must be an "A" how many different codes are available?

Solution Preview

8. You just bought a new safe: It has a key pad with 26 letters on it. The code is 4 random letters.
a. How many different codes are there for you to select from if no letter can be used more than once?

Solution:

Since if no letter can be used more than once therefore for first letter there are 26 ...

Solution Summary

The probability of manufacturers to reduce codes are determined. Step by step solutions to all the problems are provided.

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