+0  
 
0
74
2
avatar

A teacher is making a multiple choice quiz. She wants to give each
student the same questions, but have each student’s questions appear
in a different order. 

If there are twenty-seven students in the class, what is the least
number of questions the quiz must contain?

Guest Sep 15, 2017
Sort: 

1+0 Answers

 #1
avatar+78719 
+2

 

The test must contain at least 5 questions

 

To see why....4 questions can only be arranged  in 4!  =  4 * 3  * 2 * 1  = 24 different ways.......and this will not be enough.....no matter how she arranges the questions, some students will share the same arrangement

 

5 questions can be arranged  in 5!  = 5 * 4 * 3 * 2 * 1    = 120 different ways......and this will be more than enough

 

 

 

cool cool cool

CPhill  Sep 15, 2017

5 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details