Question

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

Answer 1

Step-by-step explanation:

The number of ways in which 6 different marbles can be put in two boxes of different sizes Are

6*6=36

Answer 2

There are 62 ways in which 6 different marbles can be put in two boxes so that no box remains empty.

Step-by-step explanation:

Consider the provided information.

We have 6 different marbles which can be put in two boxes.

For each marbles we have two boxes so total number of ways are:

$2\times2\times2\times2\times2\times2=2^6$

But it is given that no box remains empty. There are only 2 ways in which all the marbles can be put either in the first box or in the second box.

Thus, the number of ways in which 6 different marbles can be put in two boxes of different sizes so that no box remains empty is:

$2^{6}-2=64-2=62$

Hence, there are 62 ways in which 6 different marbles can be put in two boxes so that no box remains empty.

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