The number of ways in which $n$ distinct objects can be put into two different boxes is

The number of ways in which $n$ distinct objects can be put into two different boxes is
  1. ${ }^n P_2$
  2. $2^n$
  3. ${ }^n C_2$
  4. $n(n-1)(n-2)$

Solution

Number of ways in which $n$ distinct objects can be put in two different boxes $ =2 \times 2 \times 2 \times \ldots . n \text { times }=2^n $

Asked in: AP EAMCET 2021 (25 Aug Shift 1)

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