A basketball team has twelve players. The starting lineup of five players must be chosen.

a. In how many ways can the starting five be chosen if no positions are assigned to the players?
b. In how many ways can the starting five be chosen if each player is assigned one of the following positions: center, power forward, small forward, off guard, and point guard?
c. Suppose all twelve players differ in height. In how many ways can the starting five in part b.) be chosen so that the center is taller than the power forward who is taller than the small forward who is taller than the off guard who is taller than the point guard?

Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.