TJ Prep Problems

TJ test prep practice problems  for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

TJ Test Prep CountingProblem (difficult). Target time. 20-45 seconds

Jack and Jill along with 5 other friends were hiking up a hill. Half way up
the hill they wanted to rest. They spotted a long bench. They wanted to sit only
if Jack and Jill could sit next to each other. How many different ways Jack, Jill and their friends could sit on the bench?