A combinatorics question [closed]

Closed. This question is off-topic. It is not currently accepting answers. 开发者_StackOverflow社区

---

Want to improve this question? Update the question so it's on-topic for Stack Overflow.

Closed 12 years ago.

Improve this question

In how many different ways can a cube be painted by using three different colors of paint?

The answer of this is 45,

What if I change cube to cuboid? Thanks!

I am preparing for job interview and this question is from CareeCup.

---

First, you should know how 45 is derived. That is by the use of permutation and combination.

Since a cuboid has the same number of sides as a cube, they should have the same answer. So the answer is 45.

But it is important to learn how the 45 is derived.