
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
A spider has 10 legs and for each leg, it has one sock and one shoe. The spider needs to wear all the socks and shoes such that the sock must be put on before the shoe on each leg. In how many different orders can the spider put on its socks and shoes?
A) $20!$  
B) $\frac{20!}{2^{10}}$  
C) $10! \times 2^{10}$  
D) $\frac{20!}{10!}$  
E) $(10!)^2$

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