
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
There are 7 digits: $0$, $1$, $2$, $3$, $4$, $5$, $6$.

(1) How many unique three-digit numbers can be formed? (Answer with a number)

(2) How many unique three-digit numbers that are divisible by $5$ can be formed? (Answer with a number)

(3) How many three-digit numbers can be formed if at least one odd number must be used? (Answer with a number)

Present the answer in LaTex format: \boxed{Your answer}
user