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Professor Bartlett teaches a class of 11 students. She has a visually impaired student, Louise, who must sit in the front row next to her tutor, who is also a member of this class. Assume that the front row has eight chairs, and the tutor must be seated to the right of Louise. How many different ways can professor Bartlett assign students to sit in the first row?
 one year ago
 one year ago
Professor Bartlett teaches a class of 11 students. She has a visually impaired student, Louise, who must sit in the front row next to her tutor, who is also a member of this class. Assume that the front row has eight chairs, and the tutor must be seated to the right of Louise. How many different ways can professor Bartlett assign students to sit in the first row?
 one year ago
 one year ago

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monroe17Best ResponseYou've already chosen the best response.1
@jim_thompson5910 help? :)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
A big key phrase here is that "the tutor must be seated to the right of Louise", so if T is the tutor and L is Louise, then you can only have LT and NOT TL So basically LT is one person since you can't a) separate the two AND b) you can't reorder it
 one year ago

monroe17Best ResponseYou've already chosen the best response.1
so 6 spaces left right
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
So instead of 11 students to order, you really have 112+1 = 10 students to order since you're combining two students to form one "student'
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
There are 8 chairs in the front, but 2 are taken up and combined into one "chair" so to speak. So there are really 82+1 = 7 "chairs" in the front row.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
So it's really 10 P 7
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
5040 is 7! or 7 P 7, so no
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
10 P 7 = (10!)/((107)!)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you're welcome
 one year ago
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