# Select the Knights and Save the Princess!

Twelve ($$12$$) knights sit around a round table. Every knight hates the two ($$2$$) knights sitting next to him, but none of the other nine ($$9$$) knights. A task group of five ($$5$$) knights is to be sent to save a princess in trouble. No two ($$2$$) knights who hate each other can be included in the group. In how many ways can the group be selected?

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