How many different ways can you make a license plate that consists of 3 letters followed by 2 digits if letters and digits can not be repeated?

As L can be anything from A to Z , there are 26 combinations for that and as repetition is allowed, for second and third letters, we again have 26 combinations available and thus 26×26×26=17576 combinations for letters.

How many different license plates are possible if digits and letters can be repeated?

repeat letter,such as DO, is allowed arid so we do not use2SP2.) 10 x 10 x10 = 1000 different numbers. (Note that this is simply saying that there are 1000 numbers between and including 000 and 999.) Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.

How many different Licence plates are possible?

How many licence plates are possible? 1000 = 17,576,000 possible plates.

How many different car number plates can be made if each plate contains 3 different letters followed by 3 distinct digits?

The total number of arrangements of three letters followed by three digits is then the product of the number of options available at each step and is then 26⋅26⋅26⋅10⋅10⋅10=263⋅103.

How many license plates can be made with 2 letters and 3 numbers?

The same applies for the three digits. So for a license plate which has 2 letters and 3 digits, there are: 26×26×10×10×10=676,000 possibilities.

How many license plates can be made consisting of 3 letters followed by 3 digits?

Each of the three letter combinations can be combined with any of the three number combinations so the total is 17,576 x 1000 = 17,576,000 different combinations possible.

How many letters are there on a license plate?

A state’s license plate contains 3 letters followed by 3 digits. How many different license plates are possible? Explain your answer. YOu don’t specify if repetitions are allowed, but I will assume we can repeat letters and digits.

What is the structure of a license plate?

The structure of a license plate is {LLLNNN}, where L is a letter and N is a number. There are 26 options for letters and 10 options for numbers. Since letters and numbers may appear more than once license plates can be made. Chapter 2.2, Problem 8E is solved.

How many spots are there with 26 and 10 choices?

There are 3 spots where there are 26 choices each ( = 263) and 4 spots where there are 10 choices each (the digits 0 through 9, = 104 ). This gives:

How many letters can the same letter be repeated?

If the same letter can’t be repeated, we can look at things this way. The first letter spot can be any one of the 26 letters. The second letter spot can be any one of the remaining 25 letters. And the third letter spot can be any one of the remaining 24 letters. This gives, for letters: