
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 modified SHORT BINGO, a $3\times3$ card is filled, where each column contains numbers from a specific subset. The first column uses numbers $5-10$, the second column $11-16$, and the third column $17-22$. In each column, one square is marked as VOID and is skipped when placing numbers, where the VOID squares are located in the first row of the first column, second row of the second column, and third row of the third column.

One possible configuration of the card is:

```
| VOID |  11  |  17  |
|  6   | VOID |  18  |
|  8   |  13  | VOID |
```

Each number in a column is distinct and chosen such that it fits within the designated ranges for that column. A player wins this game in the same manner as in classical BINGO, by marking numbers in a row, horizontally, vertically, or diagonally.

How many distinct possibilities are there for the values in the second column of this modified SHORT BINGO card?

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