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A personal identification number consists of 3 letters followed by 4 digits. the 5 vowels cannot be used, and the last digit cannot be 0 or 9. how many different numbers are possible?

Sagot :

The total number of possible PINs' that you can make is; 74,088,000 PINS

How to solve probability combinations?

Each of the first 3 letters can be chosen from the 21 letters since 5 vowels cannot be used, {A, B, C, …, U, V, W}.

Thus, number of possible choices = 21³ possible choices.

The first 3 digits can be any number from {0, 1, 2, …, 9}, so there are 10³ choices.

The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.

Then the total number of PINs that you can make is; 21³ × 10³ × 8 = 74,088,000

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