Question of IIT-A : If 1 1 1 1 = 5 Then 5 5 5 5 = ?

Question of IIT-A

If
1 1 1 1 = 5
2 2 2 2 = 24
3 3 3 3 = 93
4 4 4 4 = 272
Then
5 5 5 5 = ?

Challenge all master brains! Explain with logic

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