Homework Answers
Solution : Since total number of letter is 26(e.g. a, b, ,,,, ,z) and total number of digits is 10(e.g. 1, 2, ,,,,, ,9).
And licence plate are made using 3 letters and followed by2 digits.
So, total number of licence plate are 26*26*26*10*10=1757600.
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7. Suppose that in a certain state, all automobile license plates have three uppercase letters followed...
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A license plate is to consist of 3 digits followed by 4 uppercase letters. Determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted. Choose the correct answer below. O A. 358,960 OB. 32,148,480,000 OC. 2,893,363,200,000 OD. 57,408,000
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13. Suppose in a certain state, all license plates have four letters {A,B,...Z} followed by three digits {0,1,2,...9). a. How many different license plates are possible? [2 points] b. How many license plates are possible in which all the letters and digits are distinct? (Distinct means no symbol is repeated). [3 points] c. How many license plates could begin with AB and have all letters and digits that are distinct? [3 points)
In a certain state, license plates consist of three letters followed by three numbers. 1. How many different license plates can be made if the letter and number carn repeat? (5pts) appears more than once? (5pts) number appears more than once? (5pts) 2. How many different license plates can be made in which no letter or number 3. A license plate is chosen at random. What is the probability that no letter or
7. Suppose that in a certain state, all automobile license plates have three uppercase letters followed by three digits. (a) (5 points) How many different license plates are possible? (b) (5 points) How many license plates could begin with A, end in 0, and in which all the letters and digits are distinct? (c) (5 points) What is the probability that a randomly chosen license plates begins with A, ends with O, and all its letters and digits are distinct?
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A license plate is to consist of 3 digits followed by 4 uppercase letters. Determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted. Choose the correct answer below. O A. 358,960 OB. 32,148,480,000 OC. 2,893,363,200,000 OD. 57,408,000
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