suppose a license plate that has 2 length of 7 characters can only contain digits and upper-case vowels and must contain at leas

Question

1 year ago

9

t one digit and at least one vowel. how many different legitimate license plates are available?

1 answer:

Igoryamba · Answer 1 · 2024-06-05T12:31:11+03:00

The total number of possible legitimate license plate numbers possible are (15)⁵.

The license plate has a length of 7 character for the legitimate license plates.

So, there are a total 7 position, in these positions, on has to be a upper case vowel and one has to be an integer digit.

Now, we have only 5 position are left.

There are only 5 vowels and 10 integers digits.

So, we are assuming that the repetition is allowed because nothing else is mentioned.

So, total possible combinations are 1 x 1 x 15 x 15 x 15 x 15 x 15.

Because repetition is allowed, we don't have to consider the factor of internal arrangement.

So, the total number of legitimate license plates possible are (15)⁵.

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