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new int[N].Select((s,i) => i + 1).OrderBy(o=> Guid.NewGuid()).ToArray();

Or Enumerable.Range(0,N).Select(..... This will be for a sequence of 1 to 10 with a randomised order

There are simpler ways to achieve this. For example:

new int[N].Select((s,i) => i + 1).OrderBy(o=> Guid.NewGuid()).ToArray();

Or

Enumerable.Range(0,N).Select(.....

This will be for a sequence of 1 to 10 with a randomised order

new int[10].Select((s,i) => i + 1).OrderBy(o=> Guid.NewGuid()).ToArray();

Or Enumerable.Range(0,10).Select(..... This will be for a sequence of 1 to 10 with a randomised order

new int[N].Select((s,i) => i + 1).OrderBy(o=> Guid.NewGuid()).ToArray();

Or Enumerable.Range(0,N).Select(..... This will be for a sequence of 1 to 10 with a randomised order

new int[10].Select((s, i) => new KeyValuePair<int, Guid>(i + 1, Guid.NewGuid())).OrderBy(o=> o.Value).Select(s => s.Key).ToArray();

Or Enumerable.Range(0,10).Select(..... This will be for a sequence of 1 to 10 with a randomised order

new int[10].Select((s,i) => i + 1).OrderBy(o=> Guid.NewGuid()).ToArray();

Or Enumerable.Range(0,10).Select(..... This will be for a sequence of 1 to 10 with a randomised order