In how many ways automobile licence plates can be made if each plate contains two different digits followed by
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1 Number of ways to choose 2 letters out of 26 = 325
#2 Number of ways to chose 2 numerical digits from 0–9 = 45
Now the 2 letters must be followed by the 2 digits, each set can be put four ways, So we can have, e.g., AB12 or AB21 or BA12 or BA21.
Therefore, number of different plates would be 325 x 45 x 4 = 58500
#2 Number of ways to chose 2 numerical digits from 0–9 = 45
Now the 2 letters must be followed by the 2 digits, each set can be put four ways, So we can have, e.g., AB12 or AB21 or BA12 or BA21.
Therefore, number of different plates would be 325 x 45 x 4 = 58500
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