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## Comment on

Product Codes## I understand that there are

So what is the logic behind the fact that there are 3 different ways with this question?

## If you have 3 different

If you have 3 different objects to arrange, you can:

- Place the 1st object in one of 3 different locations (1st space, 2nd space and 3rd space)

- Place the 2nd object in one of the 2 remaining spaces

- Place the 3rd object in the 1 remaining space

So, the TOTAL # of arrangements = (3)(2)(1) = 6

Let's list them.

If there are three objects to arrange (A, B and C) we can create the following arrangements:

- ABC

- ACB

- BAC

- BCA

- CAB

- CBA

## So why do we just count

## I thought your question about

I thought your question about arranging 3 objects was separate from the question on the video.

I don't quite understand your latest question. Can you please rephrase it?

## Hi Brent,

In your second solution, we can solve using following way,

1. Select 2 Digit can also be solved as if order of two digit is important then it can be done = 5*4=20

2.Select One letter = 6

3. Arrange selected Letter in specific 2 digit by keeping order of digit important, this can be done in 3 ways, for ex if digit is 71 and letter is E then E can be placed as E71, 7E1, 71E. So a arrange letter in specific digit can be done =3

So answer is = 20*6*3=360.

What you think?

## That's a perfectly valid

That's a perfectly valid approach - nice work!

That's what I love about GMAT math questions. They can often be solved in many different ways.

## https://gmatclub.com/forum

sir please explain

## Here's my solution: https:/

Here's my solution: https://gmatclub.com/forum/given-that-there-are-5-basketball-players-per...

Cheers,

Brent

## https://gmatclub.com/forum

please explain

## Here's my full solution:

Here's my full solution: https://gmatclub.com/forum/fifteen-dots-are-evenly-spaced-on-the-circumf...

Cheers,

Brent

## Add a comment