Permutations

Ten runners join a race. In how many possible ways can they be declared as first, second, and third placers?

Answer explanation

$10P3$

How many ways can you place 9 different books on a shelf if there is space enough for only 5 books?

Answer explanation

$9P5$

A dress-shop owner has 8 new dresses that she wants to display in the window. If the display window has 5 mannequins, in how many ways can she dress them up?

Answer explanation

$8P5$

Given the 4-letter word READ. In how many ways can we arrange its letters, 3 at a time?

Answer explanation

$4P3$

Ms. Dee wants to produce different sets of test questions for her essay test. If she plans to do this by putting together 3 out of 5 questions she prepared, how many different sets of questions could she construct?

Answer explanation

$5P3$