A few examples of five-digit codes that can be created with the cards above are: 1A2B3; AB132; B2A13 .......... (No repetition is allowed) (1) How many unique five-digit codes can be created? (2) (3) How many unique five-digit codes starting with a number can be created? What is the probability that the two letters will never be next to each other in the code?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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QUESTION 12

 

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QUESTION 12
(a) The five cards given below are used by players in a game to create five-digit codes.
1
2 3 A B
A few examples of five-digit codes that can be created with the cards above are:
1A2B3; AB132; B2A13
(No repetition is allowed)
(1) How many unique five-digit codes can be created?
(3)
(2) How many unique five-digit codes starting with a number can be created?
What is the probability that the two letters will never be next to each other
in the code?
Transcribed Image Text:QUESTION 12 (a) The five cards given below are used by players in a game to create five-digit codes. 1 2 3 A B A few examples of five-digit codes that can be created with the cards above are: 1A2B3; AB132; B2A13 (No repetition is allowed) (1) How many unique five-digit codes can be created? (3) (2) How many unique five-digit codes starting with a number can be created? What is the probability that the two letters will never be next to each other in the code?
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