Question

Like in Utah, license plates in the great state of Wisconsin consist of 2 letter and 4 digits. However, only digits can repeat and the two letters always precede the digits. How many possible plates are there in Wisconsin?
Question options:

26x26x10^4

26x25x10^4

36!/(6!30!)

36x35x10x10x10x10

Answer 1

Answer:

The correct option is B) 26x26x10^4.

Step-by-step explanation:

Consider the provided information.

It is given that the Wisconsin consist of 2 letter and 4 digits. And two letters always precede the digits.

There are 26 Alphabet so that means for alphabets we have 26 choices also we for digits we have 10 choices (0 to 9).

However, only digits can repeat. For first letter we have 26 choices for second we have only 25 choices left, similarly for digits we have 10 choices but repetition is allow so we can choose same number.  the number of possible plates are:

26×25×10×10×10×10

Which also can be written as:

$26 \times 25 \times 10^{4}$

Hence, the correct option is B) 26x26x10^4.