Jay bought a new car in New York where a license plate can be created with alphabets A, B, C, D, E, W, X, Y, Z and numbers 0 to 9. He can either select a normal license plate or a VIP license plate. The VIP license plate begins with 1 alphabets followed by 2 numbers with repetition allowed. The normal license plate begins with 1 numbers followed by 1 alphabets without repetition.In how many ways can he select VIP license plate?
Question
Jay bought a new car in New York where a license plate can be created with alphabets A, B, C, D, E, W, X, Y, Z and numbers 0 to 9. He can either select a normal license plate or a VIP license plate. The VIP license plate begins with 1 alphabets followed by 2 numbers with repetition allowed. The normal license plate begins with 1 numbers followed by 1 alphabets without repetition.In how many ways can he select VIP license plate?
Solution
To calculate the number of ways Jay can select a VIP license plate, we need to consider the number of choices he has for each character on the plate.
- For the first character, he has 9 choices (A, B, C, D, E, W, X, Y, Z).
- For the second character, he has 10 choices (0 to 9).
- For the third character, he also has 10 choices (0 to 9).
Since repetition is allowed, the total number of ways he can select a VIP license plate is the product of the number of choices for each character.
So, the total number of ways = 9 (choices for the first character) * 10 (choices for the second character) * 10 (choices for the third character) = 900 ways.
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