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sashaice [31]
3 years ago
13

How many different passwords can be made if it is three letters, followed by two digits, followed by a letter? (Repetition is al

lowed.) Use the fundamental counting principle.
Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

There are 45,697,600 different passwords.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

3 letters, each with 26 possible options(ways).

Two digits, each with 10 possible options.

One digit, with 26 possible options.

How many different passwords?

Each digit/letter is independent, so:

26*26*26*10*10*26 = 45,697,600

There are 45,697,600 different passwords.

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