If the numbers of subsets of {1,2,3,4,5,6,7,8,9} that aresubsets of neither {1, 2, 3, 4,5} nor {4, 5, 6, 7, 8, 9} is K,then find the sum of digits of K.
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Number of subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9} = 29
Number of subsets of {1, 2, 3, 4,5} = 25
Number of subsets of {4, 5, 6, 7, 8, 9} = 26
Number of subsets of {4, 5} = 22
∴ Total number of subsets
= 512 – 92
= 420
∴ Sum of digits = 4 + 2 + 0 = 06
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