A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

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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Question

16! – 4! (Factorials)
32
240
16

Expert Solution

Step 1

$t o t a l n u m b e r o f p e o p l e = 16 t h e y a r e c h o o \sin g a c h a i r p e r s o n a n d v i c e c h a i r p e r s o n . t h e y p u t a l l 16 p e o p l e' s n a m e s i n t o a h a t . a n d f i r s t n a m e d r a w n f r o m h a t i s c h a i r p e r s o n a n d s e c o n d n a m e d r a w n f r o m h a t i s v i c e c h a i r p e r s o n .$

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