A Pre-RMO question! -22

Probability Level 1

If the number of subsets of {1,2,3,4,5,6,7,8,9}\{ 1,2,3,4,5,6,7,8,9 \} that are subsets of neither {1,2,3,4,5}\{ 1,2,3,4,5 \} nor {4,5,6,7,8,9}\{ 4,5,6,7,8,9 \} is kk, find the sum of the digits of kk.

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