1. Once a computer worm infects a personal computer via an infected email message, it sends a copy of itself to 100 e-mail addresses it finds in the computer's email address book. What is the maximum number of different computers this initial infection can infect if this forwarding cycle occurs 3 times?

2. Complete and prove the following statement. At least ____ months of the year must begin on the same day of the week?

3. State the binomial theorem in proving

4^n = ⁿ_k=0 3^k (^n_k)