SOLUTION: mr. santos has set 8 questions for a math test. b.) if the easiest question is the 1st question and the most difficult one is the 8th question, how many permutations are there f

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Question 1173251: mr. santos has set 8 questions for a math test.
b.) if the easiest question is the 1st question and the most difficult one is the 8th question, how many permutations are there for the 8 questions?
can u please show me the solution. thank you so much
Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821)   (Show Source): You can put this solution on YOUR website!

Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

According to the condition, the two questions are FIXED at their permanent positions; they do not participate

in permutations.


Only 6 remaining questions do participate.


For them, there are 6! = 6*5*4*3*2*1 = 720 possible permutations.


ANSWER.  Under given conditions, there are 6! = 720 possible permutations.

Solved.

==============

If you want to see many similar solved problems on PERMUTATIONS, see my 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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