Q45Section I (Objective (Q1–Q80))45 of 80

Numerical Analysis — coefficient of x-to-the-4 from falling factorials

If $x^{(r)} = x(x - 1)(x - 2) ... (x - (r - 1))$ , then what is the coefficient of $x^{4}$ in $2x^{(5)} - 5x^{(4)} + 3x^{(3)} + 2x^{(2)} + 1$ ?

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