
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
How many 6-digit numbers are there such that-:
a)The digits of each number are all from the set  $ \{1,2,3,4,5\}$ b)any digit that appears in the number appears at least twice ?
(Example:  $ 225252$  is valid while  $ 222133$  is not)**[weightage 17/100]**

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