four or five-digit PIN is to be selected from the ten digits 0,1,2,3,4,5,6,7,8,9. How many 4-digit PINs are possible if: a) all 4 digits are the same? e.g. 1-1-1-1   b) no digit can be repeated?  c) any digit can be repeated?  d) the first 2 digits must be different digits and the last 2 digits must be the same, but none of the first 2 digits can be used in the last 2?

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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 four or five-digit PIN is to be selected from the ten digits 0,1,2,3,4,5,6,7,8,9.

    1. How many 4-digit PINs are possible if:
      a) all 4 digits are the same? e.g. 1-1-1-1  
      b) no digit can be repeated? 
      c) any digit can be repeated? 
      d) the first 2 digits must be different digits and the last 2 digits must be the same, but none of the first 2 digits can be used in the last 2? 

 

 

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