How many sets of integers are there where sum of 3 different integers = product of 3 integers (i.e. a+b+c = a*b*c)?

Question

A, B, C, D, E, F and G are travelling in three different cars Alto, Punto and Vento and there are at least two persons in any of these cars. Each of them has a favourite (likes) colour, viz black, red, yellow, green, white, blue and pink, not necessarily in the same order.

B likes yellow and is not travelling in Vento.
The one who likes black is travelling in the same car in which E is travelling.
C likes blue and is travelling in the same car in which G is travelling.
D is going to Punto only with the one who likes pink.
G is not travelling either in Punto or Vento.
F does not like black.
G does not like either green or white.
D does not like green.
E does not like pink.

Which of the following combinations is correct?
(a) D – Vento – White
(b) F – Alto – Pink
(c) G – Alto – Red
(d) B – Punto – Yellow
(e) All are correct

Answer 1

(-3,-2,-1), (-1,0,1) & (1,2,3) have the properties that you mentioned in the question.