Table of Contents
- 1 How many license plates can be made if three letters are followed by three numbers and no repeats are allowed?
- 2 How many possible license plate combinations are there?
- 3 How many license plates can be formed if every license plate has 2 different letters followed by 2 different digits?
- 4 How many plates are possible?
- 5 Are 3 letters and 3 numbers in the same sequence?
- 6 How many possible digits are there in a number system?
How many license plates can be made if three letters are followed by three numbers and no repeats are allowed?
By the multiplication principle, there are a total of possible license plates that can be made. Thus, there are 17,576 possible license plates.
How many possible license plate combinations are there?
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 possible license plates could be stamped if each license plate were required to have 3 unique letters and 4 unique numbers?
Solution
| A | ||
|---|---|---|
| B | B | 1 |
| C | C | 2 |
| ⋮ | ⋮ | ⋮ |
| ⋮ | ⋮ | ⋮ |
How many license plates can be formed if every license plate has 2 different letters followed by 2 different digits?
Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.
How many plates are possible?
How many licence plates are possible? 1000 = 17,576,000 possible plates.
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:
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