1) Twelve students, consisting of 5 boys and 7 girls apply to be camp counsellors

1) Twelve students, consisting of 5 boys and 7 girls apply to be camp counsellors. There are four camp counsellor jobs available. (Note that no student can have more than one job, and all students are equally qualified for any of the jobs).

a) How many ways can the 4 camp counsellor jobs be filled if there are no restrictions? 

b) How many possible ways can the camp counsellor jobs be filled if there must be an equal number of boys and girls? 

c) If it has already been determined that Abe, Bob, Carly, and David will be hired to be camp counsellors, in how many ways can they sit in a row in their training session if Abe and Carly insist on sitting in the centre two seats, in either order? 

2) Harry's golf team is playing a game tomorrow. Based on the team's record, it has a 20% chance of winning on rainy days and an 80% chance of winning on sunny days. Tomorrow, there is a 30% chance of rain.

Determine the probability that Harry's team will win tomrrow. Your solution needs to contain a tree diagram or approprate equations