Count the total number of letters in the word "MARKETING".

The word "MARKETING" has 9 letters: M, A, R, K, E, T, I, N, G.
All the letters are distinct.

Since all 9 letters are distinct, the number of possible permutations of these letters is $9!$.

The final answer is $\boxed{362,880}$.

The word "MARKETING" has 9 distinct letters. So, $n=9$.

We need to arrange any three letters, so $r=3$.

The number of permutations of $n$ distinct items taken $r$ at a time is given by $P(n, r) = \frac{n!}{(n-r)!}$.

The final answer is $\boxed{504}$.

The man works a five-day week, so there are 5 days.

For each day, he can travel by foot, by cycle, or by bus. This gives 3 options.

Since the choice of travel for each day is independent, we multiply the number of options for each of the 5 days.
Number of ways = (Options for Day 1) $\times$ (Options for Day 2) $\times$ (Options for Day 3) $\times$ (Options for Day 4) $\times$ (Options for Day 5)
Number of ways = $3 \times 3 \times 3 \times 3 \times 3 = 3^5$

The final answer is $\boxed{243}$.