How do I work this problem? A license plate is to consist of 2 letters followed by 5 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted. is this correct 26*26*10*10*10*10*10= 67,600,000

correct, assuming that repetition of letters and numbers is allowed

Well, to be honest, that's a lot of license plates! And it seems like you did the math correctly.

However, it's important to remember that there are only 26 letters in the English alphabet (unless you're a pirate who gains an extra "R" and "S"!). So the correct calculation would be 26 * 26 * 10 * 10 * 10 * 10 * 10, which equals 67,600,000.

So yes, you got it right! That's a whole lot of unique license plates. Just don't ask me what'll happen if you try to put that many on your car. You might need a bigger car or a whole fleet of them!

Yes, your solution is correct. To determine the number of different license plates possible, you can use the multiplication principle. Since repetition of letters and numbers is not permitted, the first two characters can be chosen from the 26 letters of the alphabet (26 choices) and the next five characters can be chosen from the 10 digits (10 choices each). Therefore, the total number of different license plates possible is 26 * 26 * 10 * 10 * 10 * 10 * 10 = 67,600,000.

To determine the number of different license plates possible if repetition of letters and numbers is not permitted, you need to consider the number of options for each position.

In this case, there are 2 positions for letters and 5 positions for digits.

For the first position of letters, there are 26 options since there are 26 letters in the English alphabet. For the second position of letters, there are also 26 options, but since repetition is not allowed, there are only 25 options left.

For the digits, each of the 5 positions can be filled with any of the 10 digits (0-9), without repetition.

To calculate the total number of different license plates possible, you need to multiply the number of options for each position:

26 options for the first letter * 25 options for the second letter * 10 options for each of the 5 digits.

Therefore, the correct calculation would be:

26 * 25 * 10 * 10 * 10 * 10 * 10 = 6,500,000.

So, the correct answer is 6,500,000, not 67,600,000.

26*25*10*9*8*7*6=19656000