How many 3-digit license plates can you have?

How many 3-digit license plates can you have?

This leads to the number: Now, if you are allowed to have the three digit numbers on the left and the three letters on the right, you can have 17576000 more plates. I am going to assume that you meant a general six-character plate having three letters characters and three numeric characters so:

What is the probability of knowing what is on the license plate?

IF we were to assume that every license plate consists of three letters followed by three digits in that specific order and that each such arrangement is equally likely to occur, then the probability that we correctly guess what is on the license plate assuming we guess a valid string of three letters followed by three digits will be 1 26 3 ⋅ 10 3.

How many arrangements of three letters followed by three digits are there?

The number of arrangements of three letters followed by three digits is 26 3 ⋅ 10 3, seen by direct application of the rule of product using the following steps:

Are 3 letters and 3 numbers in the same sequence?

The question doesn’t clearly mention whether 3 letters and 3 numbers are mandatory and in the same sequence – meaning, first 3 are letters and the next 3 are numbers. How many unique 6 digit license plates exist if each license plate must consist of 3 odd numbers followed by non-repeating 3 letters (select from A, B, C, D, E, F, G, H)?

How many possible digits are there in a number system?

There are 10 possible digits for the numbers (0,1,2,…,9), and 26 possible letters (A,B,C,…..,Z). Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice.

How many different types of permutations can be created with 26 letters?

Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice. Hence, by the multiplication principle, the total different number of letter permutations is 26 ×26 ×26 = 17576 and the total number of digit permutations is 10 ×10 × 10 = 1000