# Coconut Crossing

Darby is on a deserted island and wishes to make an $$X$$ on the beach using $$6$$ brown coconuts, $$9$$ green coconuts, her red shoe, and a white frisbee. If each stroke of the $$X$$ has $$9$$ objects with one overlap in the center, in how many different ways can this be done?


Details and Assumptions:

• The $$X$$ has strokes which meet at a right angle, so that when viewed correctly it also looks like a plus sign ($$+$$).
• Two configurations are distinct if they cannot be obtained through rotation.
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