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The colors red, orange, yellow, green, blue, indigo, and violet are written on slips of paper and placed in a hat.

The colors red, orange, yellow, green, blue, indigo, and violet are written on slips of paper and placed in a hat. What is the probability that the slips will be chosen in the order of the colors of a rainbow (the order listed above)?

I don't know how to work through this problem using permutations and probability, please provide a step by step answer.

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