Answered: 1. 6 car racers join a competition. In…

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

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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Question

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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