Question

The number of ways in which 6 different balls can be put in two boxes of different sizes so that no box remains empty is

• A. 62
• B. 64
• C. 36
• D. none of these

Answer 1

Answer: (A)

62

every ball has two choices to go into first box or second box and there are 6 such balls
but, there are 2 cases in which all the balls go into first box or into second box
$\therefore$The number of ways in which 6 different balls can be put in two boxes of different sizes so that no box remains empty = $2^6-2=62$