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Numerade Educator

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Problem 15 Easy Difficulty

Tell whether each situation is a permutation or combination.
Nine people gather for a meeting. Each person shakes hands with every other person exactly once. How many handshakes will take place?

Answer

36 handshakes

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Top Algebra Educators
Heather Z.

Oregon State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University

Video Transcript

So since we are shaking hands in this question, right, it doesn't matter if a shakes bees hand or be shakes A's hand. That's the same hand shape. So this becomes a combination problem of having nine people, and we want to of them to shake hands. So this is nine times 8/2 times one, which is 72/2 for 36.

University of Louisville
Top Algebra Educators
Heather Z.

Oregon State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University