Let S denote the set of all 4-element permutations of the set {1, 2, 3, 4, 5, 6, 7, 8, 9). Define an equivalence relation on S as follows: two permutations x, y € S are related if they both permute the same elements (i.e., generate the same subset). Determine the size of the equivalence class S6789 [6789] that contains the permutation = 6789. Enter your answer in the box below.

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