Asked by lily
At a teacher’s conference on the first Saturday in November in Palm Springs, CA, 100
teachers meet in a large room. Each teacher shakes the hand of every teacher in the
room, except for his or her own hand. How many total handshakes were made?
teachers meet in a large room. Each teacher shakes the hand of every teacher in the
room, except for his or her own hand. How many total handshakes were made?
Answers
Answered by
Reiny
Simply C(100,2) = 100!/(98!2!) = 4950
(each of the 100 person shakes hands with 99 others,
that would give us 9900 handshakes.
But that would include duplications of the kind
A vs B and B vs A, which would be the same handshake,
so we have to divdide the 9900 by 2 to get 4950 )
(each of the 100 person shakes hands with 99 others,
that would give us 9900 handshakes.
But that would include duplications of the kind
A vs B and B vs A, which would be the same handshake,
so we have to divdide the 9900 by 2 to get 4950 )
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