How many arrangements of the 9 letters a,b,c,p,q,r,x,y,z are there such that y is between x and z ? (any two, are all three, of the letters x,y,z, may not be consecutive).

How many arrangements of the 9 letters a, b, c, p, q, r, x, y, z are there such that y is between x and z? (Any two, or all three, of the letters x, y, z may not be consecutive.)

If x,y,z be three numbers in G.P. such that 4 is the A.M. between x and y and 9 is the H.M. between y and z , then y is

If x,y,z be three numbers in G.P. such that 4 is the A.M. between x and y and 9 is the H.M. between y and z , then y is

If x,y,z be three numbers in G.P. such that 4 is the A.M. between x and y and 9 is the H.M. between y and z , then y is

If x,y,z be three numbers in G.P. such that 4 is the A.M. between x and y and 9 is the H.M. between y and z , then y is

Let X = {a,b,c,p,q,r,x,y,z}, A= {b,q,y}, B={a,p,r,x,y} then (A nn B)'

Let X = {a,b,c,p,q,r,x,y,z}, A= {b,q,y}, B={a,p,r,x,y} then (A nn B)'

If the points A(x,y+z),B(y,z+x) and "C(z,x+y)" are such that AB=BC ,then x,y,z are in A .P

If a, b, c and x, y, z are positive, then show that (a/x + b/y + c/z) (x/a + y/b + z/c) ge 9

If a, b, c are three consecutive terms of an A.P. and x,y,z are three consecutive terms of a G.P., then prove that x^(b-c) . y^(c-a).z^(a-b)=1