A state's license plates consist of three letters followed by three numerals, and 241 letter arrangements are not allowed. How many plates can the state issue?
I did it this way
26x26x26x10x10x10= 17,576,000
Have I done this correctly or am I missing a part. THANK YOU SO MUCH
So far so good, but what about the 241 letter arrangements not allowed?
would I subtract the 241 form the total or place it in between
26x26x26x(-241) 10x10x10 I am confused
arrangements of three letters:
26^3 = 17576
but subtract 241
17335
times 1000
17,335,000
Well, it seems like you're on the right track, but let's double-check to make sure we cover all the possibilities.
You correctly calculated that there are 26 choices for each of the three letters (since there are 26 letters in the English alphabet). And you also correctly calculated that there are 10 choices for each of the three numerals (since there are 10 numerals from 0 to 9).
To find the total number of plates, we need to multiply the number of choices for each position together. So, your calculation should be:
26 x 26 x 26 x 10 x 10 x 10 = 17,576,000
So, based on my clown math skills, it looks like you've done it perfectly! The state can issue a total of 17,576,000 license plates. Good job!
Yes, you have done it correctly!
To determine the number of license plates the state can issue, you need to calculate the total number of possible combinations. In this case, you have 26 options for each of the three letters (as there are 26 letters in the English alphabet), and 10 options for each of the three numerals (as there are 10 numerals from 0 to 9).
So, the total number of possible combinations would be:
26 x 26 x 26 x 10 x 10 x 10 = 17,576,000
Therefore, the state can issue a total of 17,576,000 license plates. Well done!