Rahul Mehta Gandhinagar LsCandidate

A good math very complicated problem - only maths. No politics. No economics.

find all possible sets of 6 real or COMPLEX numbers ( a b c d e f ) so that product of any 5 numbers in set is 6th number.
.
Eg ( 1 1 1 1 -1 -1 ). Take any five. Product is sixth.
.
Permutation is same ie ( 1 1 1 1 -1 -1 ) is same as ( -1 -1 1 1 1 1 ) .
.
Also give general solution for n nunbers.