Which one is the latest version of MS OFFICE 2016 or Office 365?

mmmm

do not confuse your selfe, Office 356 is another whole pack of office which include Excel and other office programs.

Excel is a part of it.

Regards

office 365 is the full package which contains office 2016 and that means that office 365 is is the original source

Office 365 is a subscription service that includes the most recent version of Office, which currently is Office 2016. It comes with the applications you’re familiar with, like Word, PowerPoint, and Excel, plus extra online storage, ongoing tech support at no extra cost, and more.

You can choose to pay for an Office 365 subscription on a monthly or yearly basis, and the Office 365 Home plan lets you share your subscription with up to four members of your household. Different Office 365 plans are available for home and personal use, as well as for small and midsized businesses, enterprises, schools, and nonprofits.

Those are 2 different products and you can't compare which one ie new.

Office 2016 is a product you buy for a one-time payment and you can use it as long as you want depends on how many licenses for how many computers you have. But when Microsoft releases Office 2018, for example, you won't be able to update, you must buy a new license.

Office 365 is annual subscription, you can buy a license and renew it every year and you will get regular updates. Office 365 is online based and ideal solution for business and file sharing.