Value of r for which expression 20Cr20C0+20Cr−220C1+20Cr−220C2+………+20C020Cr is maximum is equal to (A) 10 (B) 20 (C) 15 (D) 11

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Value of r for which expression {20}{{C}_{{r}}^{{20}}}{C}_{{0}

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Value of r for which expression $20 C_{r}^{20} C_{0} + 20 C_{r - 2}^{20} C_{1} + 20 C_{r - 2}^{20} C_{2} + \dots\dots\dots + 20 C_{0}^{20} C_{r}$ is maximum is equal to (A) 10 (B) 20 (C) 15 (D) 11

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Value of r for which expression

20 C_{r}^{20} C_{0} + 20 C_{r - 2}^{20} C_{1} + 20 C_{r - 2}^{20} C_{2} + \dots\dots\dots + 20 C_{0}^{20} C_{r}

is maximum is equal to (A) 10 (B) 20 (C) 15 (D) 11

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Value of r for which expression

20 C_{r}^{20} C_{0} + 20 C_{r - 2}^{20} C_{1} + 20 C_{r - 2}^{20} C_{2} + \dots\dots\dots + 20 C_{0}^{20} C_{r}

is maximum is equal to (A) 10 (B) 20 (C) 15 (D) 11