
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 version of SHORT BINGO, a $5\times5$ card is filled with the middle square marked as WILD and 24 other numbers placed in the remaining squares. The numbers are placed as follows: 5 distinct numbers from $1-10$ in the first column, 5 distinct numbers from $11-20$ in the second column, 4 distinct numbers from $21-30$ in the third column (skipping the WILD square in the middle), 5 distinct numbers from $35-44$ in the fourth column, and 5 distinct numbers from $41-50$ in the last column. Moreover, the number 38 must appear in the second row of the fourth column.

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

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