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There are 150 politicians at a meeting. They each shake hands with everyone else. How many handshakes were there? PLEASE HELP ASAP
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1 vote
1 vote
There are 150 politicians at a meeting.

They each shake hands with everyone
else. How many handshakes were there?

PLEASE HELP ASAP

User Alexander Corwin
by
2.8k points

1 Answer

26 votes
26 votes

Answer:

  • 11175

Explanation:

  • Person 1 will shake hands with 149 others
  • Person 2 ... 148 (excluding the first person)
  • Person 2 ... 147 (excluding the first two persons)
  • ...
  • Person 149 ... 1 (with person 150)
  • Person 150 ... none (already had 149 handshakes)

Total handshakes:

  • 1 + 2 + ... 149 = 149(1 + 149)/2 = 11175
User Kaffiene
by
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