Question

THERE ARE FOUR PEOPLE IN A ROOM THAT HAVEN’T MET BEFORE. THEY ARE TOLD TO SHAKE HANDS, EXACTLY ONCE, OF EVERY OTHER PERSON IN THE ROOM SO THAT THEY ALL MEET EACH OTHER. IF EACH OF THESE PEOPLE SHAKE THEIR HANDS WITH EVERY OTHER PERSON EXACTLY ONCE THEN HOW MANY HANDSHAKES ARE GOING TO OCCUR?

Answer 1

6

Explanation:

1 shook 2,3, and 4's hands

2 shook 3, and 4's hands

3 shook 4's hands

4 already got his hand shaken by everyone

1-2, 1-3, 1-4.

2-3, 2-4

3-4

(Anyone feel free to correct me. I'm not amazing at math just trying to help out.)