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Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50...

Let `P=sum_(r=1)^50 (^(50+r)C_r(2r-1))/(^50C_r(50+r)),Q=sum_(r=0)^50(^50C_r)^2,R=sum_(r=0)^100(-1)^r(^100C_r)^2`

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Let P =sum_(r=1)^(50)(""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), R = sum_(r=0)^(100)(-1)^(r) (""^(100)C_(r))^(2) The value of P - R is equal to

Let P = sum_(r=1)^(50) (""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum_(r=0)^(50)(""^(50)C_(r))^(2), R = sum_(r=0)^(100)(-1)^(r) (""^(100)C_(r))^(2) The value of Q + R is equal to

Let P = sum_(r=1)^(50) (""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum_(r=0)^(50)(""^(50)C_(r))^(2), R = sum_(r=0)^(100)(-1)^(r) (""^(100)C_(r))^(2) The value of Q + R is equal to

Let P =sum_(r=1)^(50)(""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum_(r=0)^(50)(""^(50)C_(r))^(2), R = sum_(r=0)^(100)(-1)^(r) (""^(100)C_(r))^(2) The value of P - R is equal to

Let P =sum_(r=1)^(50)(""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum_(r=0)^(50)(""^(50)C_(r))^(2), R = sum_(r=0)^(100)(-1)^(r) (""^(100)C_(r))^(2) The value of P - R is equal to

sum_(r=0)^(20).^(50-r)C_6

Let P = sum_(r=1)^(50) (""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum__(r=1)^(50) (""^(50)C_(r))^(2), R = sum_(r=0)^(100) (-1)^(r) (""^(100)C_(r))^(2) The value of P - Q is equal to

Let P = sum_(r=1)^(50) (""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum__(r=1)^(50) (""^(50)C_(r))^(2), R = sum_(r=0)^(100) (-1)^(r) (""^(100)C_(r))^(2) The value of P - Q is equal to

Let P = sum_(r=1)^(50) (""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum_(r=1)^(50) (""^(50)C_(r))^(2) , Then find the value of P - Q

50C_(31)+sum_(r=0)^(10)50+r_(C_(20+r))