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 Post subject: Quant QuestionPosted: Sun Sep 26, 2010 8:09 am

Joined: Sun Sep 26, 2010 8:05 am
Posts: 5
I really need help on these types of problems...for ex, here is one from a practice test:

A company employs 6 senior officers and 4 junior officers. If a committee is to be created of 3 senior officers and 1 junior officer, how many different committees are possible?

The correct answer is 80. Can you please show me how to do this?

Thanks

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 Post subject: Re: Quant QuestionPosted: Sun Sep 26, 2010 1:55 pm

Joined: Sun Sep 26, 2010 1:45 pm
Posts: 1
Hello,
the way to select 3 senior engineers out of 6 without any repetition would be 6C3 and the formula is 6!/(3!x3!) which would give 20 ways. Then to selct 1 junior engineer out of 4 it would be 4C1 and again 4!/(1!x3!) gices us 4. total number of combinations would be 20x4=80.

Hope this helps. these type of problems are known as permutation combination problems and you can look more of these up on the wolfram math website for a better understanding.

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