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falcon6
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$1.50 combinations

From Mathematics: Combinatorics , Mathematics: Probability
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Due on May. 17, 2009
Asked on May 14, 2009 at 12:23:41PM

Q:
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
a. How many different groups of 3 representatives are possible?
b. How many groups are possible if any number (at least 1)
up to 3 representatives can form a group? (Each department
is still restricted to at most one representative.)

ANSWER: a. 140
b. 239.

I just need help with the steps

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Posted on May 14, 2009 at 12:40:09PM

A:
Preview: ... first dept, then there are 5 choices for the second rep from the second dept, and t ...

The full tutorial is about 82 words long .

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Posted on May 14, 2009 at 12:46:18PM

A:
Preview: ... epartment. a. How many different groups of 3 representatives are possible? c(7,1)*c(5,1)*c(4,1 ...

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Posted on May 14, 2009 at 12:48:13PM

A:
Preview: ... ailed manner in a ...

The full tutorial is about 14 words long plus attachments.

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cobination of groups.docx (104K) (Preview)

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b_h

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Posted on May 14, 2009 at 12:53:48PM

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Preview: ... s in the group. Since each dept. can only send one rep, we can just choose the departments and then choose the reps. There are 3 ways to choose the two departments that are going to be represented. Say the f ...

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bharadiaam
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Posted on May 14, 2009 at 1:01:48PM

A:
Preview: ... up (7C1 * 5C0 * 4C0) + (5C1 * 7C0 *4C0) + (4C1 * 7C0 *5C0) = 7 + 5+4 =16 For 2 candidate group: (7C1 * 5C1 * 4C0) + (5C1 * 7C0 *4C1) ...

The full tutorial is about 152 words long .