# Question: Committee of 4 people

## Comment on Committee of 4 people

### why cant we calculate it like

why cant we calculate it like: 8*7*6*5?

### You are breaking the task

You are breaking the task into 4 stages (select 1st student, select 2nd student, select 3rd student and select 4th student).

HOWEVER, when you do this, you should ask "Does the outcome of each stage differ from the outcomes of the other stages?" (for more on this, watch: https://www.gmatprepnow.com/module/gmat-counting/video/788)

In this case the answer is no; each selected person gets to be on the committee. That is, selecting A then D then E then B, is the SAME as selecting E then B then A then D

As such, we cannot use the stages approach. Instead, we must use combinations.

### Hi Brent!!

Hi Brent!!
can you help me please on this one ?
in how many ways can 12 different books be distributed equally among 4 different boxes?
i will really appreciate it!!
thanks

### Here's my full solution:

Here's my full solution: https://gmatclub.com/forum/gmatbuster-s-weekly-quant-quiz-10-ques-282406...

For some reason, the 5 posts above mine all have the same wrong solution. As you can see from my solution, we can distinguish the 4 boxes by naming them box #1, box #2, box #3, and box #4. So, there's no need to multiply our answer by 4! at the end (as all of the 5 other posts have done)

Cheers,
Brent

### http://www.beatthegmat.com

The question says that - 2 notepads and 4 colors

1st set - 1 notepad and 3 different colors
2nd set - 1 notepad and 3 same colors

Here we have to understand that - he can reselect the same pad.

what if he is not allowed to reselect, and the second pad has to be the next one.

Then in that case - 2 * 4 + 1 * 4 = 12

Is this correct?