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(a) Simplify \(\frac{\binom{n}{k}}{\binom{n}{k - 1}}\)

(b) In the expansion of \((1 + x)^n\) there exist three consecutive coefficients \(a,b,c\) that satisfy \(a:b:c = 1:7:35\). Find the positive integer \(n\).

Thank youuuu! 

 Mar 26, 2020
 #1
avatar+1970 
0

a) Note that a combination is n!/(r)!*(n-4)!

 

We can write the equation in this form, and then simplify.

 

Hope this helped!

 Mar 26, 2020
 #2
avatar+111330 
+1

Heureka   gives some good answers here :

 

 

https://web2.0calc.com/questions/help_73560#r2

 

 

cool cool cool

 Mar 26, 2020
 #3
avatar+1970 
+2

Yes, definitely!!!!!!!

 Mar 26, 2020

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