proprietary software available to use for free and it can't be re-distributed or modified eg Adobe Reader
software which has the original source code freely available and may be modified. eg Moodle
free of charge, usually evaluation versions which must be paid for after a set amount of time.
software allocated to a business or company on an individual number of licenses purchased. A school might purchase a 50 seat license. After 50 students have started the software it will work, but if you are the 51st student, it won't work for you. When the students log off, it frees up so others can use that licence.
software that is purchased by a large organisation for every one in the organisation to use. eg A goverment department may purchase an enterprise license for Adobe Photoshop for every one in the department to use.
software made by a company to make a profit. It is closed source so no one can copy the original coding. Examples are Adobe CC and Logic Pro and many others
because we pay for it, it usually has support and regular updates.
for proprietary software, it is an agreement that must be agreed to when installing the software. We must tick the box to accept the terms and conditions for using the software. So the end user (you) agrees to use the software in the way that the makers of the software want us to.
From wikipedia https://en.wikipedia.org/wiki/Software_license