The sum `sum_(i=0)^m ((10),(i))((20),(m-1))`, where `((p),(q))=0` if `p lt q`, is maximum when m is equal to (A) 5 (B) 10 (C) 15 (D) 20

The sum sum_(i=0)^(m)""^(10)C_(i)xx""^(20)C_(m-i)("where " ""^(p)C_(q)=0" if "pltq) is maximum, when m is

The sum underset(i=0)overset(3m)(sum)((20),(3m-i)) , where ((p),(q))=0 if p lt q is maximum then m is_______.

If f(m) = sum_(i=0)^m ((30),(30-i)) ((20),(m-i)) where ((p),(q)) = pCq, then (A) maximum value of f(m) is 50C 25 (B) f(0)+f(1) +...+f(50) =2^50 (C) f(m) is always divisible by 50 (1<=m<=49) (D)sum_(m=0)^(50) (f(m))^2=100C50

1cm is equal to: 0.1m (b) 0.01m (c) 0.10m (d) 0.001m

The sum sum_(r=0)^(m) ""^(10)C_(r) xx""^(20)C_(m -r) is maximum ltbr. When m=

If ""^(m)C_(r)=0" for "rgtm then the sum sum_(r=0)^(m)""^(18)C_(r)""^(20)C_(m-r) is maximum when m =

Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q_(ij)] and Q=P^5+I_3 then (q_21+q_31)/q_32 is equal to (A) 12 (B) 8 (C) 10 (D) 20