
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
Ati has  $ 7$  pots of flower, ordered in  $ P_1,P_2,P_3,P_4,P_5,P_6,P_7$ . She wants to rearrange the position of those pots to  $ B_1,B_2,B_2,B_3,B_4,B_5,B_6,B_7$  such that for every positive integer  $ n<7$ ,  $ B_1,B_2,\dots,B_n$  is not the permutation of  $ P_1,P_2,\dots,P_7$ . In how many ways can Ati do this?

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