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How many solutions are there to the equation u+v+w+x+y+z=10
where u, v, w, x, y, and z are nonnegative integers, and x is even?

 Feb 15, 2024
 #1
avatar+266 
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x = 2,4,6,8,10

 

If x = 10,

u,v,w,y,z = 0

1 CHOICE

 

If x = 8,

     If there is one 2:

     5 CHOICE

 

     If there is two 1:

     10 CHOICE

 

15 CHOICE

 

You keep doing this for all possible combinations, for example x=6, you can do 1111,112,22,13,4

 Feb 15, 2024

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