Question

An automobile manufacturer has four colours available for automobile exterior and three for interiors. How many different colour combinations can be produced?

Answer 1

Hint: Type of questions are basically based on the concept of probability. As it asks about the times an event can occur, or number of outcomes we will get. By the way we can also solve them by simple logic, rather than going with the formula.

Complete step-by-step solution:
So moving further according to question, which says that they had colour for automobiles for exterior and interior separately. As 4 colours for exterior and 3 colours for interior. And we had to know the possible number of combinations that can be produced. So going with the concept of probability, for each exterior colour out of 4 there are 3 interior colours possible, so for whole possible combination will be;
$4\times 3=12$
Hence 12 is the answer.
Going with the simple logic of finding out the possible combinations;
As we know that for each 1 exterior there are 3 possible interior colours, and in total there are 4 exterior colours. So each exterior will combine with 3 interior, 4 times (as there are 4 different exterior colours) to form a different combination. So solving it numerically;
$3+3+3+3=12$
Shows how 3 interior colours are combined with each exterior 4 times.
Moreover we can also do that by;
$3\times 4=12$
Hence, the answer is 12.

Note: Keep in mind that this solving the question with logic will be valid every time but it gets complicated if we solve some complex problem. So it will be good if you go with the concept of probability rather than solving it by logic.