Martina T.

asked • 11/04/14# At a party with 16 guests, every person shakes hands with 3 other guests. How many handshakes take place?

The answer is not 6 choose 3.

I need the answer by tomorrow.

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## 1 Expert Answer

Matt H. answered • 11/04/14

Tutor

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PATIENT :-) Elem/Middle MATH and WRITING; HS SAT and COLLEGE ESSAYS!

Hi Martina--

I get 24. If you divide the guests into groups of 4, and have everyone in the group shake with everyone else in that group, you get 6:

A shakes with B,C, and D

B shakes with C and D

C shakes with D

Everyone has shaken with everyone in their group one time. Do the same thing in each of the 4 groups and you get 24.

There are other ways to set it up, but the answer SHOULD always be 24.

Hope this helps!

Matt in New York

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Jayachandran D.

11/04/14