Using Python can we find answer to:

Question

how many words can we make from
C A R E ?

Answer 1

How many words is the number of possible permutations ( https://en.m.wikipedia.org/wiki/Permutation ) doable, which can be computed as !n (factorial n == 1*2*3*...*n), so there is 1*2*3*4 == 24 possible words using the four letters C A R E...

Answer 2

When you will know how mathematically solve your problem, you will be able to implement the algorithm with any programming language, Python included, obviously ^^

Answer 3

Study mathematical statistic stuff, or even search on internet: such Rubik's cube possibility were necessarly already studied ;)

Answer 4

number of positions = 2^3=8
permutations = 8! = 40320
unique permutations = permutations ÷ 6 = 6720
I haven't considered rotation/orientation of each piece or impossible combinations, so this is only a rough idea to help start thinking

Answer 5

Thank you visph
A tougher Q now ?
how many permutations/or positions are possible with a 2x2 Rubik cube with 6 colours ?

Answer 6

...and there are six colours in 2x2 cube too.

Answer 7

Thank you for answer