Find the ratio of `.^20C_r and .^(25)C_r` when each of them has the greatest possible value.

Find n and r if .^(n)P_(r)=336 and^(n)C_(r)=56 .

If ^25C_r= ^25C_(2r+1) ,the value of ^rC_5 is

If .^(2n)C_(r)=.^(2n)C_(r+2) find the value of r.

Find the sum sum_(r=0) .^(n+r)C_r .

If .^(15)C_(r)=^(15)C_(r+1) then the value ofr is -

If a in R and the equation -3(x-[x]^2)+2(x-[x])+a^2=0 (where [x] denotes the greatest integer le x) has no integral solution,then all possible values of a lie in the interval :

The result of ^(n-1)C_r+^(n-1)C_(r-1)=

If .^(22)C_(r+4)=^(22)C_(r+2) , find r.

If .^(16)C_(r)=^(16)C_(2r+1) , then which of the following is the value of r ?

When any two sides and one of the opposite acute are given, under certain additional condition two triangle are possible. The case when two triangle are possible is called the ambiguous case. In fact when any two sides and the angle opposite to one of them are given either no triangle is possible or only one triangle is possible or two triangle are possible. In the ambiguous case, let a, b, and angleA are given and c_1,c_2 are two values of the third side c The difference between two values of c is