How's It Possible?

Probability Level 5

You have a set of 20 different objects.

Let SS be the total number of ways in which you can select and permute any number of these objects.

Find the digit sum of SS.

Details and Assumptions

  • The digit sum of a number is the sum of its individual digits. For example, the digit sum of 121 is 1+2+1=4 1+2+1 = 4 .
  • You can pick any number of objects, from 0 to 20.

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