How many 5-tuples (x, y, z, u, v) of natural numbers satisfy x + y+ z+u + v = 20? Let x= X-1, X2:Y-l, X3=2-1,Xy = u-1, Xg= V-| Then X,+Xz+Xg+ Xyt Xg = X-1+y-1+2-1+U-1+ V-| = 20 X,+X2+X3+Xy + Xg= 15 %3D %3D 1545-1 こ 15
How many 5-tuples (x, y, z, u, v) of natural numbers satisfy x + y+ z+u + v = 20? Let x= X-1, X2:Y-l, X3=2-1,Xy = u-1, Xg= V-| Then X,+Xz+Xg+ Xyt Xg = X-1+y-1+2-1+U-1+ V-| = 20 X,+X2+X3+Xy + Xg= 15 %3D %3D 1545-1 こ 15
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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
Transcribed Image Text:How many 5-tuples (x, y, z, u, v) of natural numbers satisfy x + y + z + u + v = 20?
Let X, =X-1, Xz:Y-l, X3=2-1,Xy = U-1, Xg= V-|
Then x,+Xz+Xz+ Xyt Xg = X-1+y -1+ 2-1 + U-I + v-| = 20 X,+X2+X3+Xy +Xg= 15
%3D
%3D
1545-1
15
り= (3
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