(a) Find the coefficient of (x^{15}) in ((1+x)^{18}). (b) Find the coefficient of (x^{4}) in (left(2 x^{3}-frac{1}{x^{2}}...

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(a) Find the coefficient of \(x^{15}\) in \((1+x)^{18}\).

(b) Find the coefficient of \(x^{4}\) in \(\left(2 x^{3}-\frac{1}{x^{2}}\right)^{8}\).

(c) Find the constant term in the expansion of \(\left(y+x^{2}-\frac{1}{x y}\right)^{10}\).

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