How many different ways can you arrange the carbon atom in a 5 carbon molecule?

2

More than that

Hi,

The question should be more specific (i.e. how many hydrogen or other group you have). Anyways, I’m assuming what you’re asking for is just structural isomer of C5H12. There are 3: pentane, 2-methylbutane, neopentane

If you’re including C5H10 (which has 1 extra double bond or 1 ring) you would have 11 more: 1-pentene, cis-2-pentene, trans-2-pentene, 2-methylbut-1-ene, 2-methylbut-2-ene, 3-methylbut-1-ene, 2-ethylcyclopropane, trans-1,2-dimethylcyclopropane, cis-1,2-dimethylcyclopropane, 1,1-dimethylcyclopropane, and lastly 1-methylcyclobutane.
The list goes a lot more if you're including C5H8 C5H6 and such...

Hope this helps,