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) About Me  (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.

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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.