
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 $A=\{1,2,3,\ldots,10\}$,

(1) Let the number of subsets of $A$ with 3 elements be $n$. Find the value of $n$.

(2) Let the sums of the elements of the subsets of $A$ with 3 elements be $a_1, a_2, \ldots, a_n$. Find the value of $a_1+a_2+a_3+\ldots+a_n$.

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