License plates in a particular state display 2 letters followed by 2 numbers. How many different license plates can be manufactured for this state? There are $$ \square $$ different license plates that can be manufactured for this state. (Simplify your answer. Type an integer or a fraction.)

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1. There are $$26$$ letters in the English alphabet and the license plate has $$2$$ letters, so the number of ways to choose the letters is  
   $$
   26 \times 26 = 26^2.
   $$

2. There are $$10$$ digits (from $$0$$ to $$9$$) and the license plate has $$2$$ numbers, so the number of ways to choose the numbers is  
   $$
   10 \times 10 = 10^2.
   $$

3. Multiplying the number of choices for the letters and the numbers gives the total number of different license plates:  
   $$
   26^2 \times 10^2.
   $$

4. Calculating we have:  
   $$
   26^2 = 676 \quad \text{and} \quad 10^2 = 100.
   $$  
   Thus,
   $$
   676 \times 100 = 67600.
   $$

There are $$67600$$ different license plates that can be manufactured for this state.
There are 67,600 different license plates that can be manufactured for this state.

License plates in a particular state display 2 letters followed by 2 numbers. How many different license plates can be manufactured for this state? There are \( \square \) different license plates that can be manufactured for this state. (Simplify your answer. Type an integer or a fraction.)

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