Set, Relations and FunctionsPYQ Nov 20Question 1895 of 136
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Two finite sets have x\displaystyle x and y\displaystyle y number of elements. The total number of subsets of first is 56\displaystyle 56 more than the total number of subsets of second. The value of x\displaystyle x and y\displaystyle y is:

Options

A6\displaystyle 6 and 3\displaystyle 3
B4\displaystyle 4 and 2\displaystyle 2
C2\displaystyle 2 and 4\displaystyle 4
D3\displaystyle 3 and 4\displaystyle 4
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Correct Answer

Option b4\displaystyle 4 and 2\displaystyle 2

All Options:

  • A6\displaystyle 6 and 3\displaystyle 3
  • B4\displaystyle 4 and 2\displaystyle 2
  • C2\displaystyle 2 and 4\displaystyle 4
  • D3\displaystyle 3 and 4\displaystyle 4

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