Swimmers Medley (Combinations)
Here is a question I have a problem with - I don't know how to find all ansers given restrictions.
Tayah, Innika, Jessica and Katherine have been selected for a swimming competition. Their coach sets the order they race in, following the conditions.
i] If Katherine starts, Jessica must go 3rd
ii] If Tayah or Katherine goes 2nd, Jessica must start.
iii] Innika runs 2nd if and only if Tayah runs third.
iv] If Katherine runs 3rd, then Tayah must run second.
v] Should Katherine run last, then Jessica must run third and Tayah starts.
List all possible orders which follow the conditions, giving explanations for the solutions.
Please explain how I should work towards the answer.