Answer:
11,232,000
Step-by-step explanation:
The key to this problem is knowing "repetition is NOT ALLOWED".
<u>For the first 3 letters slot:</u>
For the 1st slot, we can pick any of the 26 alphabets
For the 2nd slot, we can pick any of the 25 remaining alphabets (since 1 is already taken)
For the 3rd slot, we can pick any of the 24 remaining letters (since 2 is already taken)
<u>For the three digits slot:</u>
For the 1st slot, we can pick any one of the 10 digits
For the 2nd slot, we can pick any one of the 9 digits left, since 1 is taken already
For the 3rd slot, we can pick any one of the 8 digits left, since 2 is already taken
The number of license plates, thus, would be all of these multiplied together:
26 * 25 * 24 * 10 * 9 * 8 = 11,232,000
