utah license plates have 3 numbers followed by 3 letters. how many different license plates of this kind can be made
35,152,000 (assuming that 000 is a valid number, and that no letter combinations are disallowed for offensive connotations.)
198730
6 letters q and z are not to be used in first position how many passwords can be made
To calculate the total number of different license plates that can be made with 3 numbers followed by 3 letters, we need to consider the number of possibilities for each element.
For the numbers, since there are no restrictions, each digit can be any number from 0-9. Therefore, there are 10 options for each digit. Since there are three digits, the total number of possibilities for the numbers is 10 x 10 x 10 = 1,000.
For the letters, we need to consider that each letter can be any uppercase letter from A-Z. There are 26 letters in the English alphabet. Since there are three letters, the total number of possibilities for the letters is 26 x 26 x 26 = 17,576.
To find the total number of license plates, we multiply the number of possibilities for the numbers (1,000) by the number of possibilities for the letters (17,576). This gives us 1,000 x 17,576 = 17,576,000 different license plates that can be made of this kind in Utah.