The number of X₁ + X2 + x3 + x4 + X5 + X6 = 12 is C(12+6-1, 12) = C(17, 12). True non-negative integer solutions to the equation False

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The number of
x₁ + x₂ + x3 + x4 + x5 + X6
is C(12+6-1, 12) = C(17, 12).
True
non-negative integer solutions to the equation
False
= 12
Transcribed Image Text:The number of x₁ + x₂ + x3 + x4 + x5 + X6 is C(12+6-1, 12) = C(17, 12). True non-negative integer solutions to the equation False = 12
Expert Solution
Step 1

It is known that the number of non-negative integer solutions to the equation: x1+x2+x3++xn=k is calculated using the expression: Cn+k-1, k.

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