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compute (40)+(51)+(62)+(73).

 Mar 10, 2018
 #1
avatar+33654 
+2

In general: (mn)=m!n!(mn)!

 

so:    

  (40)=1(51)=5(62)=15(73)=35

 

I’ll leave you to add up the numbers!

 

(Note that 0! = 1)

 Mar 10, 2018
edited by Alan  Mar 10, 2018
 #2
avatar+130466 
+1

Note that 

 

C(n, 0) + C(n+1,1) + C(n + 2, 2) + C(n + 3, 3) +.....+ C(n + m, m)  = C(n + m + 1, m)

 

So

 

C(4,0)  + C(5, 1) + C(6,2) + C(7,3)  = C(8,3)   = 56

 

 

cool cool cool

 Mar 11, 2018

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