Solve the problem.
-Six strangers arrive at a business seminar and each person shakes hands with every other person. How many handshakes are there?
A)18
B)20
C)15
D)30

Question

Quizplus · Accepted Answer

This problem can be solved using the formula for combinations since each handshake involves a unique pair of people. The formula for combinations is C(n, k) = n! / [k!(n - k)!], where n is the total number of items, and k is the number of items to choose at a time. Here, n = 6 (the six strangers) and k = 2 (since a handshake involves 2 people). Thus, the number of handshakes is C(6, 2) = 6! / [2!(6 - 2)!] = (6*5) / (2*1) = 15.

Solve the Problem. -Six Strangers Arrive at a Business Seminar and Each Person