資料結構與演算法

(5 points) Select all pairs of functions in the increasing order of growth. That is, select $g_1, g_2$ if $g_2$ grows faster than $g_1$.

$f_1(n) = \binom{n}{5}, \quad f_2(n) = 2^{\log^4 n}, \quad f_3(n) = \binom{n}{n-4}, \quad f_4(n) = \sqrt{2^{\sqrt{n}}}, \quad f_5(n) = n^{5(\log n)^2}.$