Could be like this :


Put 4 and 3 next to 5.


Then put 2 next to 4 and 1 next to 3.



Result :


□ 1 □
2 □□□ 3
□4□5□

5 x 3 = 15

5 x 4 = 20

4 x 2 = 8

3 × 1 = 3

1 × 2 = 2


Total

= 15 + 20 + 8 + 3 + 2
= 48

Yes way then is it we can try to guess and check whether the answr is correct ?

You can write out all possible permutations if you want.

There are 24 unique permutations, in which there are 12 pairs which give the same product.


For example ,

□□1
2 □□ 3
□4□5□

And

□□1
3 □□ 2
□5□4□

are basically mirror images of each other.

But this is time consuming.

So the logic behind my answer is :

① The largest number is 5.

I want the largest possible product from it so I will put the next two largest numbers beside it. (4 and 3)


5 × 4 + 5 × 3 is going to be bigger than any other product including 5 (i.e 5 × 2 and 5 × 1)


② Look at the next biggest number, 4.

5 is already on one side of 4 so we need to put another number on the other side of 4.

Since 3 is on the other side of 5, we can't choose 3. We have only 2 and 1 to choose from.

Choose the bigger one, 2. (Since the product 4×2 is bigger than 4×1)



③ We are left with 1 , and we put it next to 2 and 3.

Oh I see. It look easier . Thank for help and helping to solve again. Do exchange number ?

This answer is hard. No one know how to answer

Lucky with your help again. Thanks

You mean exchanging the numbers?

Yes you can switch them around . But there are 12 different unique combinations so it's very time consuming.


The easiest way is to pair the largest numbers together for the product.

Oh so sorry to confuse u. U are a tutor. Can we exchange hp number?

A little inconvenient to exchange here since it's the public domain. Do you have Telegram?

I have but what is telegram number. How to get from my telegram haha

I thought telegram also is hp no.

Telegram allows you to add a username, so one can search that username and initiate chats with you.


After the chat has been initiated, you can remove the username so it won't be searchable again by others.

Also, your hp number can be hidden from others in Telegram so it's better privacy

Haha I don't even know I can hide my hp number till u told me. I just hide it. Thanks for teaching me