Question 1206958: How many ways can a committee of 6 people from a group of 10 people be chosen along with a committee president and a secretary?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
There are 10 choices for the president and 9 choices for the secretary; that makes 10*9=90 ways to choose those two officers.
After that, there are 8 people to choose from, of which 6 are to be chosen. The number of ways of doing that is C(8,6) = C(8,2) = 28.
The wording of the problem allows different interpretations.
If the intent of the question is how many ways the committee can be chosen after the president and secretary have been chosen, then the answer is 28.
ANSWER #1: 28
If the intent of the question is how many ways the president, secretary, and committee of 6 can be chosen, then the answer is 90*28=2520.
ANSWER #2: 2520
Answer by ikleyn(52781)  (Show Source):
You can put this solution on YOUR website! .
How this problem is worded, it is not a right style mathematical writing.
Right style mathematical writing DOES NOT ALLOW different interpretations and/or ambiguity.
Simply the author/composer is unfamiliar with a proper Math style writing.
One more quasi-writer came to teach quasi-students.
I insistently recommend to the managers of this project to REMOVE this writer
IMMEDIATELY from his/her position in the project due to his/her illiteracy in Math.
It is extremely important to do it without delay in order for
this writer does not disgrace your esteemed organization.
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I got your comment, very long.
You write that the difficulties are/were with English.
But it is not so. The difficulties are not in English.
One wise person said once, that often, when somebody fails to express accurately his/her thoughts in English,
it is because he/she can not express his/her thoughts accurately in his/her native language.
As it is worded in the post, the problem, obviously, has two different interpretations.
No one is better than the other - they both have equal rights to exist - but it is the duty of the creator
to formulate precisely what he/she wants.
How it is worded in your original post, it is NOT a style writing Math.
It is the style of writing of a person whose Math education is from reading puzzles.
I mean "bad style puzzles", whose goal is not to teach a reader (it is the goal of Math), but to confuse, instead.
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Writing Math problem is an art, in some sense, and all classic Math problems are pieces of art.
No one excessive word; everything is clear; all the words are in their right places and in the right order.
These are the rules of Math writing, and every Math magazine follows these rules.
In my life, I read thousand of articles and hundreds of book in English and in my native language,
and these rules were mandatory everywhere. By the way - not only in Math.
The same rules work in Mechanics, Physics, Engineering, and in Science, in general.
I also wrote about 50 articles in Math and Engineering magazines, and thanks to their editors
(I mean people, not the computer tools), they touched me these rules.
Here, at this forum, we expect that the visitors bring their problems edited enough
from textbook or responsible professors. Our goal here is to teach students
in solving their Math problems, not in composing or writing Math problems.
Skills writing Math are developed for years, and it is not our/tutors' goal here to teach visitors writing Math.
Nevertheless, in many cases I work episodically as an editor here at the forum and help visitors to edit their posts.
But in many cases, I see that the major goal of visitors (in hidden form) is to have me
to edit for them (or even to write for them). When it's rushing in bulk, it causes my outrage,
because editing for visitors is not my duty at this forum.
Teaching Math writing is nobody's duty except of professional editors;
and learning of Math writing is the duty of authors - not other third parties.
And the last instruction: the only method to learn writing Math is reading Math from good sources.
So read as much as you can - it is the only hope that you will be able write Math somewhen.
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