Michael's task is to determine how many 7-digit telephone numbers can exist such that all seven digits are distinct, the first four digits are in descending order, and the last four digits are in ascending order. 

Given a 7-digit number format, consider the number $987-1234$ where the first four digits $(9-8-7-1)$ descend and the last four digits $(1-2-3-4)$ ascend.

Calculate the total number of 7-digit telephone numbers possible under these conditions.

Let's think step by step and output the final answer within \boxed{}.
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