`(10101101)_2=(.........)_(10):`

^10(C_(0))^(2)-^(10)(C_(1))^(2)+^(10)(C_(2))^(2)-......-(^(10)C_(9))^(2)+(^(10)C_(10))^(2)=

If (^(10)C_(0))/1+(^(10)C_(1))/2+(^(10)C_(2))/3+.....+(^(10)C_(10))/(11)=(2^(P)-1)/(q) then the value of (p)/(2q) is

If (10)^(9)+2(11)^(1)(10)^(8)+3(11)^(2)(10)^(7)+........+(10)(11)^(9)=k(10)^(9) , then k is equal to

If (10)^(9)+2(11)^(1)(10)^(8)+3(11)^(2)(10)^(7)+..........+10(11)^(9)=k(10)^(9), then k is equal to:

If (10)^(9)+2(11)^(1)(10)^(8)+3(11)^(2)(10)^(7)+"........"+(10)(11)^(9)=k(10)^(9) , then k is equal to

If (10)^9 + 2(11)^1 (10)^8 + 3(11)^2 (10)^7+...........+10 (11)^9= k (10)^9 , then k is equal to :

If (10)^9 + 2(11)^1 (10)^8 + 3(11)^2 (10)^7+...........+10 (11)^9= k (10)^9 , then k is equal to :

Prove that :^(10)C_1(x-1)^2-^(10)C_2(x-2)^2+^(10)C_3(x-3)^2 .....-^(10)C_(10)(x-10)^2=x^2

if 10^(9)+2*11^(1)*10^(8)+3*11^(2)*10^(7)+............+10*11^(9)=k*10^(9) then k equals to:

Evaluate ""^(10)C_(1)+""^(10)C_(2)+ . . .+""^(10)C_(10)