Interview Question: Forming an Committee

Sample Question #275 (probability theory)
 
A couple of questions back we met a geeky quant finance society. The senior members of the society decided to form a social committee among the new members. There are 17 male new members and 3 female new members. The social committee will consist of two guys and two girls.
 
How many ways are there to form such a committee?
Advertisements
This entry was posted in Sample Qs. Bookmark the permalink.

3 Responses to Interview Question: Forming an Committee

  1. quantyst says:

    Apparently Quant Career poster (below) got the question wrong, maybe a typo in his/her answer.The committee consists of exactly four members (2 guys + 2 girls).  So, the correct answer is C(17,2)*C(3,2) = 408.

  2. Brett says:

    quantst, you’re absolutely right!  I’ll amend the original answer. 🙂
    -brett

  3. Brett says:

    ANSWER
     
    This is a basic cominatorics question.
     
    There are C(17,2) ways to pick two guys and C(3,2) ways to pick two girls, so the total number of ways to form the social committee is simply C(17,2)*C(3,2).
     
    [Thanks to "quantst" for pointing the typo in the originally posted answer]

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s