Ask Experts Questions for FREE Help !
Ask
    lisanoce's Avatar
    lisanoce Posts: 30, Reputation: 1
    Junior Member
    		  
    #1

    Jul 13, 2009, 05:51 PM
    Combinations-Statistics course
    Loyalist CVI is about to have a reunion of all the previous graduating classes. There are 20 members of the current alumni association. Of these, eight members are recent graduates. In how many ways can a sub-committee of four members be struck to provide memorabilia if

    a) there are no restrictions
    b) the sub-committee must be all recent graduates
    c) the sub-committee must have only two recent graduates
    d) the sub-committee must have no more than three graduates

    I have trouble answering this could you please explain how you got it. Thanks!
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
    		  
    #2

    Jul 13, 2009, 06:25 PM
    Quote Originally Posted by lisanoce View Post
    Loyalist CVI is about to have a reunion of all the previous graduating classes. There are 20 members of the current alumni association. Of these, eight members are recent graduates. In how many ways can a sub-committee of four members be struck to provide memorabilia if
    a) there are no restrictions
    Here we just choose 4 from 20.

    b) the sub-committee must be all recent graduates
    We have to choose the 4 from the 8 recent grads and 0 from the remaining 12 non-recent grads: C(8,4)C(12,0)

    c) the sub-committee must have only two recent graduates
    Choose two from the recent grad and 2 from the other 12 non-recent grads:

    C(8,2)C(12,2)

    d) the sub-committee must have no more than three graduates
    See if you can get this one.
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

Combinations ( Statistics ) [ 3 Answers ]

There are 15 technicians and 11 chemists working in a research laboratory. In how many ways could they form a 5-member safety committee if the committee a) may be chosen in any way? b)must have exactly one techinician? c)must have exactly one chemist? d)must have exactly two chemists? e)may...

How Many Possible Combinations [ 14 Answers ]

A little problem for you. Here's the question: I have three fruits, each of the three fruits have 7 different flavors, I want to mix and match every possible flavor you could generate by mixing and matching how many would I have

64-bit combinations [ 2 Answers ]

If a 4-bit has 16 combinations of zeros and ones, how many combinations of zeros and ones in a 64-bit? From 0000000000000000000000000000000000000000000000000000000000000000 to 1111111111111111111111111111111111111111111111111111111111111111 combinations... Please.. thanks..

Combinations [ 9 Answers ]

The personnel manager for a commercial bank has interviewed five men and seven women for four managerial training positions available with her bank. If the final selection will include two men and two women, how many different combinations are possible? Any suggestions will help.

Combinations [ 2 Answers ]

How many different combination of 13 objects can you have?

View more questions Search