BBM, Leni, Isko and Ping compete in a game and are ranked from 1 to 4. They then compete in another game and are again ranked from 1 to 4. Suppose that their performances in the second tournament are unrelated to their performances in the first tournament, so that the two sets of rankings are independent. What is the probability that nobody receives the same ranking twice?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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BBM, Leni, Isko and Ping compete in a game and are ranked from 1 to 4. They then compete in another
game and are again ranked from 1 to 4. Suppose that their performances in the second tournament are
unrelated to their performances in the first tournament, so that the two sets of rankings are
independent. What is the probability that nobody receives the same ranking twice?
Transcribed Image Text:BBM, Leni, Isko and Ping compete in a game and are ranked from 1 to 4. They then compete in another game and are again ranked from 1 to 4. Suppose that their performances in the second tournament are unrelated to their performances in the first tournament, so that the two sets of rankings are independent. What is the probability that nobody receives the same ranking twice?
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