M/C How many solutions are there to the equation X1+ X2 + X3 + X4 + Xg = 25 where each X¡ is and integer that satisfies 0sx;s 1O? p ( 29 18 4 4 p( 29 18 -5 4 4 4 p( 29 18 +5. 4 -5· 4 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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M/C
How many solutions are there to the equation
X1+X2 + X3 +X 4+ X5 = 25
where each Xiis and integer that satisfies 0sx;s10?
18
4
29
-5
4
18
4
29
18
5
+5.
4
4
18
5
4
Transcribed Image Text:M/C How many solutions are there to the equation X1+X2 + X3 +X 4+ X5 = 25 where each Xiis and integer that satisfies 0sx;s10? 18 4 29 -5 4 18 4 29 18 5 +5. 4 4 18 5 4
Expert Solution
Step 1

The number of solutions can be calculated using the star and sticks method. The formula for this method is n+r-1Cr-1=n+r-1r-1.

Here, is the solution or the right hand side value of the equation and r is the total number of variables. Use the formula to obtain the number of solutions.

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