Generate the permutations of a Swift array

Array+Permutations.swift

extension Array {
    func chopped() -> (Element, [Element])? {
        guard let x = self.first else { return nil }
        return (x, Array(self.suffix(from: 1)))
    }
}

print([1, 2, 3].chopped())
// Optional((1, [2, 3]))

extension Array {
    func interleaved(_ element: Element) -> [[Element]] {
        guard let (head, rest) = self.chopped() else { return [[element]] }
        return [[element] + self] + rest.interleaved(element).map { [head] + $0 }
    }
}

print([1, 2, 3].interleaved(0))
// [[0, 1, 2, 3], [1, 0, 2, 3], [1, 2, 0, 3], [1, 2, 3, 0]]

extension Array {
    var permutations: [[Element]] {
        guard let (head, rest) = self.chopped() else { return [[]] }
        return rest.permutations.flatMap { $0.interleaved(head) }
    }
}

print([1, 2, 3].permutations)
// [[1, 2, 3], [2, 1, 3], [2, 3, 1], [1, 3, 2], [3, 1, 2], [3, 2, 1]]