If numbers and letters can be repeated, how many different 6 - digit license plates can be made if the first two positions are letters and the last four are digits
what is 26x26x10x10x10x10 ?
To find the number of different 6-digit license plates that can be made with repeated numbers and letters, we need to determine the number of possibilities for each position.
Since the first two positions are letters, we have 26 choices for each of those positions (assuming we are using the English alphabet).
Since the last four positions are digits, we have 10 choices for each of those positions (from 0 to 9).
To find the total number of possibilities, we multiply the number of choices for each position.
Number of possibilities for the first position = 26
Number of possibilities for the second position = 26
Number of possibilities for the third position (digit) = 10
Number of possibilities for the fourth position (digit) = 10
Number of possibilities for the fifth position (digit) = 10
Number of possibilities for the sixth position (digit) = 10
Therefore, the total number of different 6-digit license plates that can be made is calculated by multiplying the number of possibilities for each position:
Total number of possibilities = 26 * 26 * 10 * 10 * 10 * 10 = 6,760,000