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# 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?

## 36 handshakes

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### 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
##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University