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. But digits are from 0 to 9 i.e. 10 combinations for each place and tolal 10×10=100 combinations.
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.
How many different license plate numbers can be made using 2 letters followed by 4 digits?
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 license plates can be made using either two or three letters followed by either two or three digits?
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 license plates are possible with 3 letters and 3 numbers?
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 using 3 digits and 4 letters of repeated digits and letters are allowed?
26 possibilities for each of 4 letters, 10 possibilities for each of 3 digits, 4 places out of 7 to place the letters, and 3 places out of 7 to place the numbers.
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 3 digit numbers satisfy the property that the digit in the middle is the average of the first and the third digit?
Therefore, the total number of such possible numbers is equal to 25 + 20 = 45.
How many license plates can be made using either 2 or 2 Uppercase English letters followed by either 2 or 3 digits?
How many different license plate numbers can be formed using 3 letters followed by 3 digits if no repeats are allowed?
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 3 digit number can be formed from the digits?
Thus, The total number of 3-digit numbers that can be formed = 5 × 4 × 3 = 60. Question 3: How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated? Let 3-digit number be ABC.
