1. 6 car racers join a competition. In how many possible ways can they be     arranged as first, second, third and fourth placers?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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TOPIC: Permutation / Combination. Show the solutions

 

1. 6 car racers join a competition. In how many possible ways can they be     arranged

as first, second, third and fourth placers?  

A.1x2x3x4          B. 6!                 C. 6x5x4x3                  D. 4!

 

2. Suppose you used combination lock to secure your bike. Later, you realized that you forgot the 5-digit code.  You only remembered that the code contains the digits 9, 4, 3,1 and 0.  How many possible codes are there?            

A. 120          B. 24          C. 48                            D. 625

 

3. In problem #2, if the first digit is an odd number, how many possible codes are there?

A. 120               B. 24                            C. 48                            D. 625

 

4. There are 2 red Toyota, 3 black Honda and 4 white Mitsubishi cars in a parking area. In how many ways can they be arranged in a row?

 

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