An eyewitness to a crime said that the license plate of the getaway car began with the letters T, C, and D​, but he could not remember the order. The rest of the plate had the numbers 9 and 8​, but again he did not recall the order. How many license plates must the police investigate to find the​ car?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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An eyewitness to a crime said that the license plate of the getaway car began with the letters

T, C, and D​,

but he could not remember the order. The rest of the plate had the numbers

9 and 8​,

but again he did not recall the order. How many license plates must the police investigate to find the​ car?

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