(subject is Combinations and Permutations )

1. A multiple-choice test consists of 15 questions, each permitting a choice of five alternatives. In how many ways may a student fill in the answers if she answers each question?

2. The Atlantic Thumb Wrestling Association receives applications from six high schools to host the 2015 and 2016 Regional Thumb Wrestling Championships. In how many ways may they select the hosts

for these championships: (2 marks)

a) if both may not be held at the same school?

b) if both may be held at the same school?