SOLUTION: The reading club has 7 members. In how many ways can the club choose a president and a secretary? And in how many ways can the club choose three members to attend a special progra

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Question 1134629: The reading club has 7 members. In how many ways can the club choose a president and a secretary? And in how many ways can the club choose three members to attend a special program if order doesn’t matter?
I did each question two different ways and different answers by using the notes I got. Thanks
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
The answer to the first question is  7*6 = 42 ways.


Notice that in this case THE ORDER DOES MATTER, so we use the permutation formula.




The answer to the second question is   =  = 35.

Notice that in this case THE ORDER DOES NOT MATTER, so the combinations work in this case.

Solved and answered.

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

On Combinations and Permutations,  see the introductory lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on 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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