# Math Help - Discrete Maths home due

1. ## Discrete Maths home due

Dear Mr Maths Forum

I am struggling with the following discrete maths questions I have tried but not sure whether it is correct. Can you please help. Desperate.

Thanks

Fortuna

2. For #1]

Hint: Expand $0=0^n = (1-1)^n$ as a binomial expansion.

3. A group of 15 people is gathered together for a meeting.
Show that at least 2 people must have the same number of acquaintances at the meeting.
For #2. It can be done using graph theory. See the link below.
http://www.mathhelpforum.com/math-he...ple-graph.html