(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove:

The sum of r=0 to n [((-1)^r) * (nCr)] = 0.

Prove:

The sum of r=0 to n [nCr] = 2^n

2. Relevant equations

It says to consider (1-1)^n and (1+1)^n , but I have no idea what this is even relating to honestly.

3. The attempt at a solution

I need help getting started.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Prove these equations by using Induction and Pascal's equation or (1-1)^n and (1+1)^n

**Physics Forums | Science Articles, Homework Help, Discussion**