Q1: The number of ways 8 people can be arranged in a straight line if two people insist on being separated is:

A) 15,120

B) 3,600

C) 30,240

D) 7,200

E) 5,400

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:^{14}C_{11 }= 364, but I'm unsure.

b) How many different teams are possible if the wicket keeper must be included?

I did^{13}C_{11 }= 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.