Prob.

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marouan: Senior | Next Rank: 100 Posts; Posts: 38; Joined: Mon Oct 06, 2008 5:21 am

by marouan » Fri Feb 06, 2009 5:26 am

Hi All, easy but I stuck on it !
A certain compagny employs 6 senior officers and 4 junior officers. If a comitee is to be created that is made up of 3 senior officers and 1 junior officer, How many different committees are possible?

* 8
* 24
* 58
* 80 ( That was the right answer )
* 210

Thanks

Last edited by marouan on Fri Feb 06, 2009 8:30 am, edited 1 time in total.

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Source: Beat The GMAT — Problem Solving | Fri Feb 06, 2009 5:26 am

Uri: Master | Next Rank: 500 Posts; Posts: 229; Joined: Tue Jan 13, 2009 6:56 am; Thanked: 8 times; GMAT Score:700

by Uri » Fri Feb 06, 2009 5:32 am

It seems the problem is not reproduced correctly.
You can select 6 senior officers from 6 senior officers in only 1 way. And you can pick 1 junior officer from 4 junior officers in 4 ways. For each of the way that you pick a junior officer, you have only one combination of senior officers. So, the total combination will be 4*1 = 4.

Am I missing any point?

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mrsmarthi: Senior | Next Rank: 100 Posts; Posts: 45; Joined: Sun Nov 30, 2008 8:41 pm; Thanked: 4 times

by mrsmarthi » Fri Feb 06, 2009 5:33 am

I think there might be some mistake in the question. If not then the number of ways a committe can be formed with 6Seniors and 1 Junior is 4 ways.

This is becuase, for each combination, all the 6 Senior will be picked. And amoung 4 Juniors, there are 4 ways we can pick one junior.

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gaggleofgirls: Master | Next Rank: 500 Posts; Posts: 138; Joined: Thu Jan 15, 2009 7:52 am; Location: Steamboat Springs, CO; Thanked: 15 times

by gaggleofgirls » Fri Feb 06, 2009 8:23 am

Given that the right answer is 80, I am guessing that the correct question is a committee of 3 senior officers and 1 junior officer.

That would be 6c3 * 4c1 = 20*4 = 80.

-Carrie

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marouan: Senior | Next Rank: 100 Posts; Posts: 38; Joined: Mon Oct 06, 2008 5:21 am

by marouan » Fri Feb 06, 2009 8:33 am

My bad..
yeah it's of 3 senior out of 6 and 1 jenior
And yeah gaggleofgirls you got it: it's a comnbination..
Thanks every body.. and Im realy realy sorry for teh mistake !
Thx All!
All the best

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