G, M, P, J, B and C are supposed to sit in 6 different seats. But M and J won't sit together, how many different arrangements are possible? So, I know I can calculate the possibilities w/o constraints and subtract the possibilities with constraints and get the answer as 6! - 5! to get 480. What I am...

How can I solve Guide 4 - Page 73 - Combinatorics Strategy problem: Greg, Marcia, Peter, Jan, Bobby and Cindy go to a movie and sit next to each other in 6 adjacent seats. If Marcia and Jan will not sit next to each other, in how many arrangements can they sit? How can I solve this problem using the...

A gambler rolls three fair 6 sided dice. What is the probability that 2 of the dice show the same number but the third shows a different number? I don't see the flaw in my reasoning: Lets say the gambler played the dice the first time: 1/6 is the probability for any number to come up, then for the s...