SOLUTION: Irving cannot remember the correct order of the five digits in his ID number. He does remember that the ID number contains the digits 1, 4, 3, 7, 6. What is the probability that th

Question 1162967: Irving cannot remember the correct order of the five digits in his ID number. He does remember that the ID number contains the digits 1, 4, 3, 7, 6. What is the probability that the first three digits of Irving’s ID number will all be odd numbers?
Answer by ikleyn(52817) (Show Source): You can put this solution on YOUR website!
.


The total number of all possible permutations of 5 digits is  T = 5! = 5*4*3*2*1 = 120.



The total number of those favorable permutations that start with three odd digits 1, 3 and 7, is  F = (3*2*1)*2*1.


The probability under the question is the ratio


    P =  =  =  =  =  =  = 0.1 = 10%.    ANSWER

Solved.

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On Permutations, see introductory lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
    - Special type permutations problems
    - Problems on Permutations with restrictions

    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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