Let S = [1, 2, 3, 4, 5, 6, 9]. Then the number of elements in the set T
and the sum of all the elements of A is not a multiple of 3} is____
Let S = [1, 2, 3, 4, 5, 6, 9]. Then the number of elements in the set T and the sum of all the elements of A is not a multiple of 3} is____
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1 Answer
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S = {1, 2, 3, 4, 5, 6, 9}
Elements of type 3n -> 3, 6, 9
Type 3n + 1 ->1, 4
3n + 2 -> 2, 5
Number of subset of S containing one element which are not divisible by
Number of subset of S containing 3 elements whose sum is not divisible by
Number of subset containing 4 elements whose sum is not divisible by 3
Number of subset of S containing 6 elements = 4
Hence total subset = 80
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