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**+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

#4**+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

CPhill
Jun 20, 2018