The total number of all triplets (a, b, c) such that a, b and c are positive integers a < b < c and `1/a+1/b+1/c=1` is:

The number of triplets (a, b, c) of integers such that and a, b, c are sides of triangle with perimeter 21 and a < b < c

The number of integral triplets (a, b, c) such that a+b cos 2x+c sin^(2)x=0 for all x, is

The number of integral triplets (a, b, c) such thet a+b cos 2x+c sin^(2)x=0 for all x, is

The number of (a, b, c), where a, b, c are positive integers such that abc = 30, is

The number of triplets (a, b, c) of positive integers satisfying the equation |(a^(3)+1,a^(2)b,a^(2)c),(ab^(2),b^(3)+1,b^(2)c),(ac^(2),bc^(2),c^(3)+1)|=30 is equal to

The number of triplets (a, b, c) of positive integers satisfying the equation |(a^(3)+1,a^(2)b,a^(2)c),(ab^(2),b^(3)+1,b^(2)c),(ac^(2),bc^(2),c^(3)+1)|=30 is equal to

Find the number of ordered triples (a,b,c) of positive integers such that abc= 108

Is the average of a, b and c equal to b? I. b-a=c-b II. A.b and c are positive integers.