Thursday
July 10, 2014

Homework Help: math logic

Posted by M.A. on Wednesday, March 10, 2010 at 1:27pm.

A group of five students needs to break into two smaller groups in order to tackle the two different assignments associated with a larger group project. Naturally, they feel that it would be most fair to break into groups of two and three. How many ways are there to do this?
Choose one:
5
10
20
40
----------------------
My reasoning:
There are 5 students. I will name them student A, B, C, D, and E.
First grouping: AB
CDE
BC
DEA
etc. = 5 ways to combine students.

Second grouping: AC
BDE
BD
EAC
etc. = 5 ways to combine students.

Third grouping: CE
ABD
etc. = 5 ways to combine students.

Fourth grouping: AD
etc. = 5 ways

Fifth grouping: AE
etc. = 5 ways

5 groupings with 5 ways to combine students = 20 ways to group.

So, is the answer "20" or am I to assume
that they can be further grouped depending upon the unexplained tasks of
the class project?

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

help - A group of five students needs to break into two smaller groups in order ...
Biology - 1. A medical scientist is designing an experiment to test the results ...
Algebra 1 - Suppose students in your school arrive in groups each morning. You ...
English - 1. A group of students help the sick. 2. A group of students helps the...
improving it without changing its overall meaning - Ever been assigned to work...
English - Revise the following paragraph, improving it without changing its ...
Composition - Revise the following paragraph, improving it without changing its ...
stats multiple choice ? - A researcher reports that "Students were randomly ...
stats multiple choice ? - A researcher reports that "Students were randomly ...
math - Dr. Mento has a class of 80 students. For a group project, he wants to ...

Search
Members