1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Answer:
D
Step-by-step explanation:
if a<b,then b<a is the answer
Answer:
970
Step-by-step explanation:
Conjectures are conclusions formed from evidences. Steven's conjecture that: 
is true because: 
or 
for 
Given that:
Split the inequality as follows:
or
Take the cube of both sides
or 
Evaluate all exponents
or 
Steven's conjecture that: is true because:
or for
Read more about absolute inequalities at:
brainly.com/question/4688732
