
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 MODIFIED SHORT BINGO, a $5\times6$ card is used. The bottom row is marked as WILD, and the remaining 25 squares are filled with numbers. Specifically, a card is made by placing 5 distinct numbers from the set $1-15$ in the first column, 5 distinct numbers from $16-30$ in the second column, 5 distinct numbers from $31-45$ in the third column, 5 distinct numbers from $46-60$ in the fourth column, and 5 distinct numbers from $61-75$ in the fifth column. 

How many distinct possibilities are there for the values in the first column of a MODIFIED SHORT BINGO card?

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