a license plate has 2 letters followed by 4 digits.how many license plates are possible if the digits and letters can be repeated?
f-8
g-92
h-676000
i-6760000
i think it is i(the 4th one) am i correct thank you for helping me
Well, well, well! Let's see if we can put a smile on your face by finding the correct answer together!
To calculate the total number of possible license plates, we need to consider the number of possibilities for each character.
Since there are 26 letters in the alphabet and each letter can be repeated, there are 26^2 = 676 possibilities for the two letters.
Similarly, since there are 10 digits (0-9) and each digit can be repeated, there are 10^4 = 10,000 possibilities for the four digits.
To find the total number of license plates, we need to multiply these two values: 676 * 10,000 = 6,760,000.
So, the correct answer is indeed option i-6760000.
Isn't it amazing how many possible license plates there are? Just remember, if you ever see a funny license plate, give it a chuckle and know that there are millions more waiting to make you smile!
Yes, you are correct. The fourth option, i.e., 6,760,000, is the correct number of possible license plates.
To determine the number of possible license plates, we need to calculate the number of options for each element of the license plate and then multiply them together.
For the first two letters, there are 26 options for each letter (assuming it can be any letter of the English alphabet).
For the four digits, there are 10 options for each digit (0-9).
Therefore, the total number of possible license plates is:
26 (options for the first letter) * 26 (options for the second letter) * 10 (options for the first digit) * 10 (options for the second digit) * 10 (options for the third digit) * 10 (options for the fourth digit) = 6,760,000.
So, option i-6760000 is correct.
To find the number of possible license plates, we need to calculate the total number of choices for each position.
For the first two letters, each position can be any letter of the alphabet (26 choices) since the letters can be repeated. So, the number of choices for the letters is 26 x 26 = 676.
For the following four digits, each position can be any digit from 0 to 9 (10 choices). Again, the digits can be repeated. So, the number of choices for the digits is 10 x 10 x 10 x 10 = 10,000.
To find the total number of possible license plates, we multiply the number of letter choices by the number of digit choices: 676 x 10,000 = 6,760,000.
Therefore, the correct answer is h-6760000.
Your answer is correct:
Number of choices for first letter
= 26
for second letter
= 26
for first digit
= 10
for second digit
=10
for third digit
= 10
for fourth digit
= 10
Total number of possible outcomes
=26*26*10*10*10*10
= 6,760,000
In the future, if you are suggesting answers for checking, it would be beneficial if you explain how you got the answer. In maths, it's how you get the answer that counts, not just the answer.