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2011 AMC 10A Problem 22

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2011 AMC 10A Problem 22AMC 10 Step by Step
Name:                             Date: September 13, 2026
Arrangements with Restrictions · difficulty 4 of 5 · about 6 min · position P21-25

Each vertex of convex pentagon ABCDEABCDE is to be assigned a color. There are 66 colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible?

  1. A)

    25202520

  2. B)

    28802880

  3. C)

    31203120

  4. D)

    32503250

  5. E)

    37503750

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