At one point, license plates in a certain state consisted of 2 letters (excluding I, O, Q, and W), followed by 4 numbers. Complete parts (a) through (e) below. a) How many plates are possible when letters and numbers can repeat? Set up the expression that can be used to calculate the number of plates that are possible when letters and numbers can repeat. The expression is (Do not simplify.) The number of plates possible when letters and numbers can repeat is (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) b) How many plates would be possible if letters could repeat but numbers could not? (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) c) How many plates would be possible if letters could not repeat but numbers could? (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) d) How many plates would be possible if neither letters nor numbers could repeat? (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) e) What is the probability that a randomly generated plate has no repeating letters or numbers? (Type an integer or decimal rounded to three decimal places as needed.)
At one point, license plates in a certain state consisted of 2 letters (excluding I, O, Q, and W), followed by 4 numbers. Complete parts (a) through (e) below. a) How many plates are possible when letters and numbers can repeat? Set up the expression that can be used to calculate the number of plates that are possible when letters and numbers can repeat. The expression is (Do not simplify.) The number of plates possible when letters and numbers can repeat is (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) b) How many plates would be possible if letters could repeat but numbers could not? (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) c) How many plates would be possible if letters could not repeat but numbers could? (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) d) How many plates would be possible if neither letters nor numbers could repeat? (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) e) What is the probability that a randomly generated plate has no repeating letters or numbers? (Type an integer or decimal rounded to three decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:At one point, license plates in a certain state consisted of 2 letters (excluding I, O, Q, and W), followed by 4 numbers. Complete parts (a) through (e) below.
a) How many plates are possible when letters and numbers can repeat? Set up the expression that can be used to calculate the number of plates that are
possible when letters and numbers can repeat.
The expression is (Do not simplify.)
The number of plates possible when letters and numbers can repeat is
(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
b) How many plates would be possible if letters could repeat but numbers could not?
(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
c) How many plates would be possible if letters could not repeat but numbers could?
(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
d) How many plates would be possible if neither letters nor numbers could repeat?
(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
e) What is the probability that a randomly generated plate has no repeating letters or numbers?
(Type an integer or decimal rounded to three decimal places as needed.)
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