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A math conference is presenting a lecture series with six different lectures. If Dr. Smith's lecture depends on Dr. Jones Lecture, so that Dr. Smith must be scheduled at some time after Dr. Jones, in how many orders can six lectures be scheduled?

 

Heres what I've come up with.

 

since the order matters, it must be a permutation.

 

after this, I really don't know how to proceed.

 

6c2=30

 

?

 Nov 4, 2019
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The order doesn't really matter, except for Dr. Jones and Dr. Smith.

 

Hmmmm, this seems to be a case-work problem

 

Since Dr. Smith MUST be after Dr. Jones,

 

he can be the 2nd, 3rd, 4th, 5th, or 6th.

 

So try to find the amount of lectures for 

 

2nd

 

3rd

 

4th

 

5th

 

6th

 

 

then add em up. I think thats what you do.

 Nov 5, 2019

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