Among the inequalities below, which ones aretrue for all natural numbers n greater than 1000 ?
I. n!≤nn
II. (n!)2≤nn
III.10n≤n!
IV. nn≤(2n)!

Question

Among the inequalities below, which ones aretrue for all natural numbers n greater than 1000 ? I. n ! ≤ n^nII. (n!)^2≤ n^nIII.10^n≤n!IV. n^n≤ (2n)!

Examsnet · Accepted Answer

Correct Answer is :  I, III and IV only

KVPY SX SB Exam 19-Nov-2017 Question Paper