4. What is the coefficient of the term 25y5z4 in the polynomial (x+y+z)¹4? Leave your answer in exponential or factorial form.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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4. What is the coefficient of the term x5y5z4 in the polynomial (x+y+z)¹4? Leave your answer in
exponential or factorial form.
Transcribed Image Text:4. What is the coefficient of the term x5y5z4 in the polynomial (x+y+z)¹4? Leave your answer in exponential or factorial form.
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Step 1

This is a problem of multinomial coefficient. 

In the expansion of (x1 + x2 + . . . + xk)n, the coefficient of the term x1a1x2a2. . . . xkak is n!/{(a1)!(a2)!. . . . .(ak)!}.

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