Question

Imhotep the architect wants to paint the great pyramid.He wants one red side , one blue side , one green side and one yellow side .

How many different ways can he paint it?

Answer 1

24

Explanation:

If Imhotep wants to paint each side of the pyramid a different color, then he has 4 sides to paint with 4 different colors (red, blue, green, and yellow). The number of different ways he can paint the pyramid can be calculated using the permutation formula, which is:

nPr = n! / (n - r)!

where n is the total number of items (in this case, 4 colors) and r is the number of items selected (in this case, 4 sides of the pyramid).

So, the number of different ways Imhotep can paint the pyramid is:

4P4 = 4! / (4 - 4)! = 4! / 0! = 4 x 3 x 2 x 1 / 1 = 24

Therefore, there are 24 different ways that Imhotep can paint the pyramid if he wants to paint each side a different color.