Originally Posted by

**jt1894** 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.

Thanks