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KCET2020MathematicsBinomial Theorem

If A= 1,2,3,4,5,6 , then the number of subsets of A which contain at least two elements is

Options

  1. A64
  2. B63
  3. C57
  4. D58

Correct answer

C. 57

Step-by-step solution

Given set A= 1,2,3,4,5,6 Number of subsets of A which contain at least two elements is 6 2 + 6 3 + 6 4 + 6 5 + 6 6 =2⁶- 6 0 - 6 1 =64-1-6=57

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