SOLUTION: How many different license plates of 5 digits are possible if the first digit must be a number, the next three digits are letters and the last digit is a number? _ _ _ _ _ I am

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Question 1206250: How many different license plates of 5 digits are possible if the first digit must be a number, the next three digits are letters and the last digit is a number?
_ _ _ _ _
I am not understanding this. Could you take me step by step please
Found 3 solutions by ikleyn, greenestamps, math_tutor2020:
Answer by ikleyn(52848)   (Show Source): You can put this solution on YOUR website!
.

Wording is shocking and catastrophically incorrect. It must be edited.

The correct wording is THIS: 

    How many different license plates of 5 SYMBOLS are possible if the first SYMBOL must be a DIGIT, 
    the next three SYMBOLS are letters and the last SYMBOL is a DIGIT?


Where did you find such a clumsy text?

You should not show it to anybody . . .



Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Yes, the wording is terrible; but the intent of the question in the post is clear.

I choose to provide a response to the student that is possibly of some help, rather than simply providing rather unpleasant editorial comment, as the other tutor did.

The first and last symbols on the license plate are digits, of which there are 10.

The middle three symbols are letters, of which there are (in the English alphabet) 26.

Given no statement about restrictions on the digits and letters, there are 10 choices for the first symbol, 26 choices for each of the next three, and again 10 choices for the last.

By the fundamental counting principle, the total number of possible license plates is the product of the numbers of choices for each symbol:

ANSWER: 10*26*26*26*10 = 1757600
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

number * letter * letter * letter * number
10 * 26 * 26 * 26 * 10
1757600
This result is approximately 1.76 million.
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