Answer:
1330 rounds of meetings
Step-by-step explanation:
You have a total of 21 people, and they all want to meet with each other in groups of 3. This means we are dealing with a combination problem, where combination is the selection of items in which order does not matter.
Formula for combination:
ₙCᵣ = [tex]\frac{n!}{r!(n-r)!}[/tex]
where n is the total number of objects (in this case, total number of people: 21), and r is the sample set (in this case, groups: 3).
We plug in and get:
-> [tex]\frac{21!}{3!(21-3)!}[/tex]
-> 1330 different meetings for everyone to meet with each other in groups of 3.
