inventory puposes, a manufacturing company assigns a 3 charcter code to each differnt item produced. the first character of the code must be aleter from the 26 letter english alphabet. the second and third characters must each be a digit from 0-9. how many 3 digit character codes can be assigned
26 letters give you 26 possibilities for the first character. Then, you can combine two digits one hundred ways, if 00 is included.
For each one of the 100 combinations of digits, you have 26 possible letters. That means the total number of possibilities is..?
To find out how many 3-character codes can be assigned, we need to consider the number of choices for each character position.
For the first character position, we have 26 choices since it must be a letter from the 26-letter English alphabet.
For the second and third character positions, we have 10 choices each since they must be digits from 0 to 9.
To find the total number of combinations, we multiply the number of choices for each position. In this case, it would be:
26 (choices for the first character) * 10 (choices for the second character) * 10 (choices for the third character) = 2600
So, there are 2600 possible 3-digit character codes that can be assigned by the manufacturing company for inventory purposes.