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# Rule of Sum and Rule of Product

Seek simple and succinct solutions in these systems by sussing-out the significant symmetries.

# Map Coloring

If each country must be colored blue, orange, or green, and countries that share a border must be different colors, how many different ways are there to color Iraq? (For all problems in this quiz the colors already given in the picture must not change.)

If each country must be colored blue, orange, or green, and countries that share a border must be different colors, how many different ways are there to color Syria and Iraq?

If each country must be colored blue, orange, or green, and countries that share a border must be different colors, how many different ways are there to color the three countries?

If each country must be colored blue, orange, or green, and countries that share a border must be different colors, how many different ways are there to color the three countries?

If each country must be colored blue or orange, and countries that share a border must be different colors, how many different ways are there to color the three countries?

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