A license plate has 3 letters and 3 digits in that order. A witness to a hit and run accident saw the first 2 letters and the last digit. If the letters and digits can be repeated, how many license plates must be checked by the police to find the culprit?
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Answered by
3
Answer:
2600
Step-by-step explanation:
License: LLL-DDD
Witness saw first two letters and last digit: LLX-YZD, LL and D is known, X, Y and Z are not.
X can be ANY letter from 26;
Y can be any digit from 10 (0,1,2,..9);
As digits on license can be repeated Z can also be any digit from 10.
Hence 26*10*10=2600.
Answered by
3
2600
License: LLL-DDD
Witness saw first two letters and last digit: LLX-YZD, LL and D is known, X, Y and Z are not.
X can be ANY letter from 26;
Y can be any digit from 10 (0,1,2,..9);
As digits on license can be repeated Z can also be any digit from 10.
Hence 2600
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