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A person can only shake the hand of 6 others.....

i don't think that is right

Thank you

for...

you know for what!

C(2,7)=21

is it because person A shakes hands with person B
And then person B shakes hands with person A

One can shake 6 so there are 7 by 6 but this counts a single handshake twice.

^they can't shake hands twice

oh i see so why is it 7C2?

like i get how you say its like 6+5+4+3+2+1 =21 which is the same ans as 7C2

Forget the handshakes, how many ways to choose 2 from 7 without regard to order?

why choose 2 from 7

2 people (ie 2 hands)

ohhhh i see , wow i guess thats a nice way to think about it