Let `xyz=105` where `x, y,z in N`. Then number of ordered triplets (x, y,z) satisfying the given equation is

xyz=24 , x,y,z in N. Then find the number of order pairs (x,y,z)

If x,y,z are natural numbers such that cot ^(-1)x+cot^(-1)y=cot^(-1)z then the number of ordered triplets (x,y,z) that satisfy the equation is 0 (b) 1 (c) 2 (d) Infinite solutions

The number of ordered triplets, positive integers which are solutions of the equation x+y+z=100 is:

If x+y+z=10 , where x,y,z in N . Find the number of solutions of triplet (x, y, z) such that no ttwo variables are equal.

. The number of ordered triplets of positive integers which are solutions of the equation x+y+z=100

Let n>=3 and A be a set of n elements.Let P=(x,y,z) where x,y,z in A. Then the number of points such that atleast two of x,y,z are equal is

The number of ordered triplets (x,y,z) satisfy the equation (sin^(-1)x)^(2)=(pi^(2))/(4)+(sec^(-1)y)^(2)+(tan^(-1)z)^(2)

If x,y,z are integers such that x>=0,y>=1,z>=2 and x+y+z=15, then the number of values of ordered triplets (x,y,z) are

Let N be the number of triplets (x,y,z) where x,y,z in[0,2 pi] satisfying the inequality (4+sin4x)(2+cot^(2)-y)(1+sin^(4)+z)<12sin^(2)-z Find the value of (N)/(2)

If x,y,z are three natural numbers in A.P. such that x+y+z=30 , then the possible number of ordered triplet (x, y, z) is :