Q57 / 160 · TS EAMCET 2024 (11 May Shift 1) · Mathematics

The number of ways in which 6 distinct things can be distributed into 2 boxes so that no box is empty is

  • A
    $36$
  • B
    $64$
  • Correct answer
    C
    $62$
  • D
    $34$

Solution

The first object can be placed in one of the 2 boxes in 2 ways. Similarly other things can be placed. In 2 cases one of the boxes remains empty. Required ways $=2^6-2=62$.

Hence, the correct answer is option: 'C'.

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