Q1: The number of ways 8 people can be arranged in a straight line if two people insist on being separated is:
No matter what I try I can't obtain any of these possible answers. I'm thinking it's something to do with the wording of the question, but I'm not sure what exactly.
Q2: A cricket team takes 11 players to a game and there are 14 players from which to choose; 1 wicket keeper, 7 batsmen and 6 bowlers.
a) How many different teams are possible if there are no restrictions?
I did: 14C11 = 364, but I'm unsure.
b) How many different teams are possible if the wicket keeper must be included?
I did 13C11 = 78, but I'm unsure.
c) How many different teams are possible if the team contains the wicket keeper, 6 batsmen and 4 bowlers?
Thanks in advance.