Find the number of positive integral solutions of `x y z=21600.`

Find the total number of positive integral solutions for (x ,y ,z) such that x y z=24. Also find out the total number of integral solutions.

Find the number of positive integral solutions of the equation x+y+z=12.

Find the number of positive integreal solutions of ( pairs of positive integers satisfying ) x^2 - y^2 = 353702 .

Find the number of positive integral solutions of the inequality 3x+y+zlt=30.

Find the number of non-negative integral solutions of x+y+z+wlt=20.

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)(y/(sqrt(1+y^2)))=sin^(-1)(3/(sqrt(10)))

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)y/(sqrt(1-y^2))=sin^(-1)3/(sqrt(10))

Find the number of positive integral solutions satisfying the equation (x_1+x_2+x_3)(y_1+y_2)=77.

The number of positive integral solutions of x^4-y^4=3789108 is a. 0 b. 1 c. 2 d. 4

Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x_(1) , x_(2) , x_(3) be integers such that x_(1)x_(2)x_(3)=y , then the number of positive integral solutions of x_(1)x_(2)x_(3)=y is