Doubt in quiz question

Q11. 13. Time and Space
lg (n!) = ………………

O(n)

O(lg n)

O(n^2)

O(n lg n)

how this questions ans is d

@deepakjumani09
log is an increasing function.
n! <= n^n
log(n!) <= log(n^n)
log(n!) <= n log(n) // property of log(a^b) = b log(a)

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