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Which of the following has the correct order in terms of growth rate? (A) 1 < n < log n < n < n log

Which of the following has the correct order in terms of growth rate?

(A) 1 < n < log n < n < n log n < n^2 < n^3 < 2^n < n! < n^n

(B) 1 < log n < n < n < nlogn < n^2 < n^3 < 2^n < n! < n^n

(C) 1 < n < log n < n < n log n < n^2 < n^3 < n! < 2^n < n^n

(D) 1 < log n < n < n < n log n < n^2 < n^3 < 2^n < n^n < n!

(E) 1 < n < log n < n < n log n < n^2 < n^3 < n! < 2^n < n^n

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