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

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.)

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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?

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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?

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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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