Question

question 23
your answer is correct.
paul is hosting a party where he shakes hands once with each of his six guests, and each guest shakes hands once with everyone else. how many handshakes occur?
a) 28
b) 14
c) 15
d) 21
e) 9
f) none of the above.

Explanation:

Step1: Determine total people

Paul + 6 guests = 7 people total.

Step2: Use handshake formula

The formula for handshakes among \( n \) people is \( \frac{n(n - 1)}{2} \). Here, \( n = 7 \).
$$\frac{7\times(7 - 1)}{2}=\frac{7\times6}{2}=21$$

Answer:

d) 21