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Let A and B be two sets each containing three elements then sum of digit in number of subsets of A×B , each having at least two and at most 7 elements, is equal to?

Let A and B be two sets each containing three elements then sum of digit in number of subsets of A×B , each having at least two and at most 7 elements, is equal to?

Grade:12

1 Answers

Meet
137 Points
6 years ago
Total subsets are 2^9 - {9C0 + 9C1 +9C8 + 9C9}= 492. Therefore sum of digit in number of subsets of A×B is 4+9+2=15

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