A club with 20 women and 17 men needs to form a committee of size six. How many committees are possible if the committee must have three women and three men? O (37) (²⁹) (¹7) O (¹27) (²0) + (¹7) (²⁹º) + (¹7) (²9) + (¹7) (²9) + (¹7) (²0) (20) + (¹7) O

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 club with 20 women and 17 men needs to form a committee of size six. How many committees are possible if the committee must have three women and three men?
O
(³7)
20
(²⁹9)
O
(¹3)
O
(¹27) (²0) + (¹7) (²3⁹°) + (¹7) (²º) + (¹7) (²º) + (17) (²0)
(20) + (¹7)
Transcribed Image Text:A club with 20 women and 17 men needs to form a committee of size six. How many committees are possible if the committee must have three women and three men? O (³7) 20 (²⁹9) O (¹3) O (¹27) (²0) + (¹7) (²3⁹°) + (¹7) (²º) + (¹7) (²º) + (17) (²0) (20) + (¹7)
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