1.Among the inequalities below, which ones are true for all natural numbers nnn greater than 100010001000?I. n!≤nnn! \le n^nn!≤nnII. (n!)2≤nn(n!)^2 \le n^n(n!)2≤nnIII. 10n≤n!10^n \le n!10n≤n!IV. nn≤(2n)!n^n \le (2n)!nn≤(2n)!a.I and IV onlyb.I, III and IV onlyc.II and IV onlyd.I, II, III and IVLogin to continueOnly logged in users canattempt or see the solution.
