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A teacher has a class of 6 students and she wants to break them into two groups of 3 students. How many ways can she do that? Here's a hint that MIGHT help. If one of the six students is named Anne then however the teacher divides the class ONE of the groups of 3 students will have Anne in it.

 

After a 7% pay cut (due to a tough economy) Erin is earning $43,100. What was her salary before the cut (to the nearest dollar)?

Guest Jun 20, 2018
 #1
avatar+48 
+2

im not super sure how to do the first one,

but to start on the second one: 0.93x=43100. x=46344.0860215, which is about $46,344

kevbamboo  Jun 20, 2018
 #2
avatar+48 
+1

oh, to start on the first one, name the 6 students Anne, Bethany, Cass, David, Evelyn, and Frank. then, just try out different groups of students

kevbamboo  Jun 20, 2018
edited by kevbamboo  Jun 20, 2018
edited by kevbamboo  Jun 20, 2018
 #3
avatar+48 
0

there are 10 ways I believe. 

kevbamboo  Jun 20, 2018
 #4
avatar+87334 
+1

I think the answer to the first question is  20 ways.....

 

To see this.....let Anne occupy one position in a circle.....and we will fill the sets in a  clockwise manner,.....  (we could also choose a counter-clockwise manner.....the results will be the same )

 

To Anne's right, we can choose any of the other 5 classmatres to fill this position.....and to this person's right, we can choose any 4 of the remaining classmates.....and these three comprise one set.....so, by default.....the other set will be composed of the classmates we haven't chosen

 

So......5 ways  X 4 ways  = 20 ways to divide the class

 

 

cool cool cool

CPhill  Jun 20, 2018

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