
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
Let set $A=\{2, 4, 6, 8\}$, and set $B=\{1, 3, 5, 7, 9\}$. Now, select a number from set $A$ to be the tens digit and a number from set $B$ to be the units digit. Answer the following questions:  
(1) How many different two-digit numbers can be formed?  
(2) How many two-digit numbers can be formed where the tens digit is less than the units digit?  
(3) How many of the formed two-digit numbers are divisible by 3?

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