There are 40 people at Drake's sweet sixteen party. Drake's only rule is that everyone in the party must meet and shake each oth
ers hand. If all 40 guest shake each other's hand once and only once. (1) How many handshakes are there altogether? (50 pts)
(2) How did you get your solution? (30 pts)
(3) What's the quickest way to figure this out if Drake invited 1000 people? (20 pts)
PLEASE EXPLAIN 3.