Question

you have normal 6-sided cube. i give you 6 different colors that you can paint each side of the cube with (one color to each side). how many different cubes can you make?

Answer 1

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Here is the solution:

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Number of sides = 6

Number of colors = 6

Assuming that the colours are not repeated:

Number of ways = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 ways

If the colors can repeat:

Number of ways = 6⁶  = 6 x 6 x 6 x 6 x 6 x 6 = 46656 ways

Answer: There are 720 ways to paint the cubes without repeating the colors.