Question

All attendees to a party are introduced to one another. 28 handshakes are made in total. How many people are attending the party?

Answer 1

no repeated handshake?

Answer 2

@cruffo yes

Answer 3

If two people shake hands, is it counted as one handshake or two?

Answer 4

one

Answer 5

If there where three people then there would be 3 handshakes?

Answer 6

I thought it would be something like nC2 =28

Answer 7

isn't this a combination problem

Answer 8

It could be. I've done this one just using algebra. It has to do with "triangular numbers" if I recall.

Answer 9

I don't think nC2 is quite not right, since if there were 4 people, then there would be 6 handshakes, but 4C2 = 12.

Answer 10

I found n to be 8 not 4

Answer 11

8c2 =28

Answer 12

8 people = 7+6+5+4+3+2+1 handshakes = 28 so yah!

Answer 13

@cruffo thanks

Answer 14

thank you!