a. A teacher creating a quiz has to decide how to order the problems—if there are ten problems, how many different ways can they be ordered? b. How many ways can the problems be ordered if the teacher decides to put the one essay question either first or last? c. If it's decided the test is too long, how many ways could the teacher choose 8 of the problems to create a shorter quiz?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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a. A teacher creating a quiz has to decide how to order the problems—if there are ten
problems, how many different ways can they be ordered?
b. How many ways can the problems be ordered if the teacher decides to put the one essay question either first or last?
c. If it's decided the test is too long, how many ways could the teacher choose 8 of the problems to create a shorter quiz?

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if order matters :  permutation          nrP = n!(n-r)!if order not matters :combination       nrC = n!r!(n-r)!

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