Question

Number of ways in which $6$ distinct object can be kept into two identical boxes so that no box remains empty is

• A. $31$
• B. $32$
• C. $63$
• D. $64$

Answer 1

The correct option is D $64$

There are $2$ distinct boxes (say $A$ and $B$) and $6$ distinct objects.

So, each of $6$ objects can go to either of the $2$ boxes.

So, total no. of possibilities $=2^n=2^6=64$