582 I assume you have Excel. Google how to get the developer tab up and create a macro, type or copy, then run it.
Sub count()
sol = 0
For a = 1 To 10: For b = 1 To 10: For c = 1 To 10: For d = 1 To 10: For e = 1 To 10
If 10 * a + 9 * b + 7 * c + 3 * d + 5 * e = 229 Then sol = sol + 1
Next: Next: Next: Next: Next
Range("a1") = sol
End Sub