On reality TV a woman has the opportunity to find love with 25 men. There are 10 that the woman is mostly interested in.  All 25 men were randomly placed in 25 rooms marked 1 through 25. The woman picks 10 doors to reveal the men who will go on to compete for her love.  A) what is the probability that she will pick all ten of the men she was most interested in? B)what is the probability that she picks at least 2 of the men she was most interested in.  C)whats the probability that she will not get any of the men she was most interested in

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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On reality TV a woman has the opportunity to find love with 25 men. There are 10 that the woman is mostly interested in.  All 25 men were randomly placed in 25 rooms marked 1 through 25. The woman picks 10 doors to reveal the men who will go on to compete for her love. 

A) what is the probability that she will pick all ten of the men she was most interested in?

B)what is the probability that she picks at least 2 of the men she was most interested in. 

C)whats the probability that she will not get any of the men she was most interested in. 

Please show all work.

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