P.o.t.W. #30 Solution
The number of handshakes is the number of combinations of 33 items chosen 2 at a time. {}_{33}{C_2} = 528 Hence, there are 528 handshakes. There are 12 handshakes occurring during each 10-second interval. \displaystyle\frac{{528}}{{12}}=44 Thus, there are 44 10-second intervals. The handshaking will finish after 2 seconds during the final interval. The total time it takes to complete the 528 handshakes is: Total time...