The following problem was given in a math class: 97 people were ata business mee
ID: 2953683 • Letter: T
Question
The following problem was given in a math class: 97 people were ata business meeting. If each person shook hands with every otherperson at the meeting exactly once, how many handshakes werethere?Which of the following could be used as simpler examples to helpsolve the given problem?
Choose 2 answers
A. There are 90 people in aline. How many different ways can the line be arranged?
B. There are 4 children in asmall nursery class. A series of art projects requires that thestudents work in pairs. During the week each child was paired withevery other child exactly once for this art project. How manydifferent art projects were produced?
C. A program is set up fortutoring students. There are 4 tutors and 4 students. If each tutoris paired with exactly one student, how many differenttutor-student pairs can there be?
D. 10 people were competingin a checkers tournament. Instead of an elimination tournament,each person had to play every other person exactly once. How manygames were there?
E. 2000 people were at a business meeting. If each person shookhands with every other person at the meeting exactly once, how manyhandshakes were there?
Explanation / Answer
D. 10 people were competing in a checkers tournament. Instead of anelimination tournament, each person had to play every other personexactly once. How many games were there? E. 2000 people were at a business meeting. If each person shookhands with every other person at the meeting exactly once, how manyhandshakes were there? Both are same as question, so both D and E are correct..! :)
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