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Please don't solve it, but give me a hint on what to do. My problem with these types of questions is my tendency to plug in random values.

1) I think that the denominators make this slightly complicated.

 

 

I am adding the question.  Melody

https://artofproblemsolving.com/wiki/index.php/1999_AHSME_Problems/Problem_25

 Jan 10, 2020
edited by Melody  Jan 10, 2020
 #1
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What is the question ?

 Jan 10, 2020
 #3
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https://artofproblemsolving.com/wiki/index.php/1999_AHSME_Problems/Problem_25

Guest Jan 10, 2020
 #2
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Hint:

*Try getting rid of the denominators

*Use Wilson's Theorem

*Later use Division theorem

 

 

 

 

 

 

further hints:

It involves:

-mod.

-Factorials

 Jan 10, 2020
 #4
avatar+28478 
+3

Since the answer is given along with the question I have solved it below, using a systematic approach (as I don't know what Wilson's theorem is!):

 

 Jan 10, 2020

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