Egg Coloring
Yan Yau wants to paint eggs for Easter. He has 20 eggs and three colors, red green and blue. He wants the number of red eggs to be a multiple of three, green eggs to be a multiple of 4, and blue eggs to be a multiple of 5. If the number of eggs total that he paints is a multiple of 4, how many way can he paint eggs?
Details and Assumptions
Note that he can choose not to paint some eggs.
The answer is 17.
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1 solution
0 = 0 ∗ 4 4 = 4 ∗ 1 8 = 4 ∗ 2 = 5 + 3 1 2 = 3 + 4 + 5 = 3 ∗ 4 = 4 ∗ 3 1 6 = 3 ∗ 4 + 4 = 4 ∗ 4 = 2 ∗ ( 5 + 3 ) = 4 ∗ 2 + 5 + 3 2 0 = 4 ∗ 5 = 5 ∗ 4 = 3 + 4 ∗ 3 + 5 = 4 + 2 ∗ ( 5 + 3 ) = 4 ∗ 2 + 3 ∗ 4 = 3 ∗ 4 + 5 + 3 So the number of ways is: 1 7