Let `n in N` and `n<(5sqrt(3)+8)^(4)` .Then the greatest value of `n` is

Let n(A) = m and n(B) = n. The total number of non-empty relations that can defined from A to B is

A small source of sound moves on a circle as shown in the figure and an observer is standing on O. Let n_1 , n_2 and n_3 be the frequencies heard when the source is at A, B and C respectively. Then

Let n in N, f(n)={(log_(8)n" if "log_(8)n " is integer"),(0" otherwise"):} , then the valud of sum_(n=1)^(2011) f(n) is :

Let A = {64n , n in N} and B ={3^(2n+2) - 8^(n) -9, n in N} then

Let A = {7n:n in N} and B = {2^(3n)-1: n in N} , then

Let n in N, S_n=sum_(r=0)^(3n)^(3n)C_r and T_n=sum_(r=0)^n^(3n)C_(3r), then |S_n-3T_n| equals

Let for n in N, f(n)=sum_(r=0)^(n)(-1)^(r)(C_(r)2^(r+1))/((r+1)(r+2))