
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
In a variation of a game similar to SHORT BINGO, a $5\times5$ card is used where each column must contain numbers from unique consecutive sets of ten numbers, without any repetition within a column. For the first column specifically, you are required to fill it with 5 distinct numbers taken from the set 51-60. How many distinct possibilities are there for the values in the first column of this BINGO card considering the placement on the card where the order of numbers matters?

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