How many ways are there to answer a 10-Question true/false test, where at least 3 questions have been answered with false?

Question

anonymous · Answer

do you know how to start?

usarmy3947 · Answer

hey some_someone

anonymous · Answer

Well, I know it has something to do Pascal's triangle, but that's pretty much it.

anonymous · Answer

what? @UsArmy3947 ??

usarmy3947 · Answer

thx back there

anonymous · Answer

for what? i did not do anything...?

usarmy3947 · Answer

u backed me up but im sorry for my behavior

anonymous · Answer

umm i think we should take this or leave this, because we are gonna end up spamming this post.

usarmy3947 · Answer

ok add my as a fan

anonymous · Answer

Hint: 

# of different ways to answer T/F on a 10 question test
MINUS
# of different ways to answer T/F with less than 3 answered with False

anonymous · Answer

How many different ways could you answer T/F on a 10 question test?

anonymous · Answer

2^10 = 1024

anonymous · Answer

..

anonymous · Answer

Is it 968? I did 10c3 + 10c4 +10c5 + 10c6 +..... 10c10