Consider the following functions from positive integers to real numbers: $$10,\ \sqrt{n},\ n,\ \log_2 n,\ \frac{100}{n}$$ The CORRECT arrangement of the above functions in increasing order of asymptotic complexity is:

To arrange the given functions in increasing order of asymptotic growth as $n \to \infty$:

1. $\frac{100}{n} = \Theta\left(\frac{1}{n}\right) \to 0$ as $n \to \infty$ (strictly decreasing function, lowest asymptotic growth).

2. $10 = \Theta(1)$ (constant function).

3. $\log_2 n = \Theta(\log n)$ (logarithmic growth, grows faster than a constant).

4. $\sqrt{n} = n^{0.5} = \Theta(\sqrt{n})$ (sub-linear polynomial growth, grows faster than logarithmic).

5. $n = \Theta(n)$ (linear growth, grows faster than $\sqrt{n}$).

Thus, the correct increasing order of asymptotic complexity is:

This matches option (B).