What fraction of these sequences have exactly three 3s and three 2s?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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If a die is rolled 30 times, there are 
630 different sequences possible. The following question asks how many of these sequences satisfy certain conditions. 
 
What fraction of these sequences have exactly three 3s and three 2s? (Round your answer to five decimal places.)
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