`"Let "x_(1)x_(2)x_(3)x_(4)x_(5)x_(6)"` be a six digit number. Find the number of such numbers such that `"x_(1) < x_(2) < x_(3)` `le` ` x_(4) < x_(5) < ``x_(6)"` is

If x_(1),x_(2),x_(3),x_(4),x_(5) are five consecutive odd numbers then their average is

Find the number of solution of 2tan^(-1)(tan x)=6-x

Find the number of solutions of |x|*3^(|x|) = 1 .

Let X_(1),X_(2),x_(3) be 3 roots of the cubic x^(3)X-1=0. Then the expression x_(1)(x_(2)-X_(3))^(2)+x_(2)(x_(3)-x_(1))^(2)+x_(3)(x_(1)-x_(2))^(2) equals a rational number.Find the absolute value of the number.

Find the number of solution |x|*3^(|x|)=1

The number of solutions of x_(1)+x_(2)+x_(3)=84 (x_(1),x_(2),x_(3) being 3n+1 type where n is natural number ) is

Find the number of solution of 2 tan^(-1) (tan x) = 6 - x

Let f(x) = |x- x_(1)| + |x-x_(2)| , where x_(1) and x_(2) are distinct real numbers. Then the number of points at which f(x) is minimum

Let f(x)=x+sin x. Find the number of solutions of f(x)=f^(-1)(x)