Combining these results, it follows that there are 676 x 1000 =
676,000 different license plates
possible.
How many different license plates with 2 letters followed by 4 digits are possible if letters and digits Cannot be repeated?
The total amount of license plates are figured out by multiplying each space together. So the answer is computed as: 26x26x26x26x10x10. Therefore, there are
45,697,600 possible license plates
given the constraints in the question.
How many different license plates can be made if each license plate is to consist of 3 letters followed by 2 digits and no letters or digits may repeat?
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 2 letter combinations are there?
There are
325 possible combinations with
two letters. To determine this number of combinations, we use the fact that the alphabet has 26 letters….
How many license plates can be made using either two or three letters followed by either two or three digits?
3. How many license plates can be made using either two or three letters followed by either two or three digits? We can solve this using both the multiplication and addition principles: The number of plates using 2 letters and 2 digits is
262 102 67 600
.
How many different license plates can be made using 2 letters followed by 3 digits selected from the digits 0 through 9 if neither letters nor digits may be repeated?
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?
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 5 letter combinations are there?
The number of combinations possible with 5 letters is
65,780
.
How many combinations of 3 items are there?
3*3*3=
27 unique possibilities
. This number is small enough to enumerate the possibilities to help your understanding (like the other tutors did), but the digits^base expression (with “^” meaning exponentiation) is important.
How many letter combinations are there?
The number of possible combinations that are possible with 26 letters, with no repetition, is
67,108,863
.
How many number plates can be made if each number plate contains two different letters followed by three different digits?
And so on for every letter of the alphabet. 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 with 3 letters followed by 3 digits exist if exactly one of the digits is 1?
5 How many license-plates with 3 letters followed by 3 digits exist if exactly one of the digits is 1? 8 · 7 · 6 · 5 · 4 · 3 · 2 · 1 =
40,320
ways. Evaluate the following expressions: (a) 6!
How many license plates can be made using either 3 digits followed by 3 uppercase English letters or 3 uppercase English letters followed by 3 digits?
Example: How many different license plates can be made if each plate contains a sequence of three uppercase English letters followed by three digits? Solution: By the product rule, there are 26 ∙ 26 ∙ 26 ∙ 10 ∙ 10 ∙ 10 =
17,576,000 different possible license plates
.
