How many non-negative integer solutions are there of the equation: x + y +z+ w= 15?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 10
How many non-negative integer solutions are there of the equation: x+ y+z+w= 15?
b. How many solutions are there to the equation:
X1 + x2 + x3 + x4 + x5 = 25
such that x, 2 1, x2 2 5, x3 2 15.
c. How many non-negative integer solutions are there of the equation: x + y + z +w=15, such that w = 5, z > 5?
Transcribed Image Text:Problem 10 How many non-negative integer solutions are there of the equation: x+ y+z+w= 15? b. How many solutions are there to the equation: X1 + x2 + x3 + x4 + x5 = 25 such that x, 2 1, x2 2 5, x3 2 15. c. How many non-negative integer solutions are there of the equation: x + y + z +w=15, such that w = 5, z > 5?
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