Two combinatoric problems
Hi I have to problems reggarding combination I really need some help with.
The first one:
In have many ways can 3 cards be drawn from an ordinary card deck (52 cards) so that all of the 3 cards have the same color (3 spades, 3 hearts, 3 diamonds or 3 cubs)?
I know that just 3 cards out of 52 can be drawn in C(52, 3) ways but how do I do it when all of these must have the same color?
The second problem is very much simpler.
12 people are going to stand in an circle. in how many ways can this be arranged?
Is 11! the correct solution? It would be 12! if 12 they where standing in a straight line, right?