Final answer:
To find out how many handshakes will occur, subtract one from the total number of people in the room, resulting in 19 handshakes for 20 people. For any number N, the formula N - 1 is applied.
Step-by-step explanation:
If there are 20 people in a room, including yourself, you need to shake hands with 19 other people. We do not need to count our own handshake, so the calculation is as simple as subtracting one from the total number of people in the room.
For a general case of N people in a room, you would shake hands with N - 1 other people, since you do not shake hands with yourself. This is a common type of question in combinatorics, a branch of mathematics dealing with counting combinations and arrangements of sets of items.
In light of recent global changes and different personal comfort levels with physical contact, such as handshakes, alternative forms of greeting like a small wave, a nod, or a smile may be more appropriate.