
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
Given that $n\in N^{*}$, select $k(k\in N, k\geqslant 2)$ numbers $j\_1$, $j\_2$, $...$, $j\_k$ from the set ${1,2,3,...,n}$ such that they simultaneously satisfy the following two conditions: $①1\leqslant j\_1 < j\_2 < ...j\_k\leqslant n$; $②j_{i+1}-j_{i}\geqslant m(i=1,2,…,k-1)$. Then the array $(j\_1, j\_2, ..., j\_k)$ is called a combination of selecting $k$ elements with a minimum distance of $m$ from $n$ elements, denoted as $C_{ n }^{ (k,m) }$. For example, from the set ${1,2,3}$, we have $C_{ 3 }^{ (2,1) }=3$. For the given set ${1,2,3,4,5,6,7}$, find $C_{ 7 }^{ (3,2) }=$ \_\_\_\_\_\_.

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