Prove that $(3n)!/(3!)^n$ is an integer
4750
Show that for any positive integer n, $(3n)!/(3!)^n$ is an integer.
126889
Proof by induction: inequality $n! > n^3$ for $n > 5$
113248
Proving $r!$ divides the product of r succesive positive integers
88144
Induction Proof $n! < n^n$
150156
Proving that $S_n$ has order $n!$
45914
Proving that $n!≤((n+1)/2)^n$ by induction
130093
Prove by Induction : $n < 2^n$
139269
Prove that $2n-3\leq 2^{n-2}$ , for all $n \geq 5$ by mathematical induction
16798
Prove the inequality $n! \geq 2^n$ by induction
10604
Prove $3^n > n^2$ by induction
90789
Use induction to prove that that $8^{n} | (4n)!$ for all positive integers $n$
151153
Prove $\frac{a(a^2+2)}{3}$ is an integer for all integer $a\geqslant 1$
30136
Proof that a Combination is an integer
27580
Use mathematical induction to prove $ (2n)!\geq 2^n(n!)^2$ for $n \in \mathbb{N}$
9920
$(n^2 - 1)!$ is a multiple of $(n!)^n$
78190
How to prove that for all natural numbers, $4^n > n^3$?
130488
Prove by induction that $3\mid n^3 - n$