Math Problem Statement
14
Solution
Question 14:
"Dalam suatu reuni dihadiri oleh 8 orang. Jika mereka berjabat tangan masing-masing satu kali, maka banyak jabat tangan pada reuni tersebut adalah ...."
This problem is asking for the number of handshakes at a gathering where 8 people attend, and each pair of people shakes hands exactly once.
Solution:
The formula to determine the number of unique handshakes in a group of people is:
Where is the number of people. For this case, :
[ \text{Handshakes} = \frac{8(8 - 1)}{2} = \frac{8 \times 7}{2} = \frac
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Counting Principles
Formulas
Handshakes = n(n - 1)/2
Theorems
Combination Formula
Suitable Grade Level
Grades 6-8
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