SOLUTION: Suppose there is a class of 20 students and elections are being made for class president and vice president. How many different ways could the candidates be picked?

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Question 1175089: Suppose there is a class of 20 students and elections are being made for class president and vice president. How
many different ways could the candidates be picked?

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

    20*19  = 380 ways.


20 ways for the president position,
and 19 ways for the vice-president.

and the product of these numbers for the total number of permutations.


The order is important in this problem, so we use PERMUTATIONS.

Solved and explained.

--------------

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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