Playing the horses: In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, and which will come in third, in the correct order. One can make a box trifecta bet by specifying which three horses will come in first, second, and third, without specifying the order. Part 1 of 2 (a) In a six-horse field, how many different ways can one make a trifecta bet? There are ways to make a trifecta bet. Part 2 of 2 (b) In a six-horse field, how many different ways can one make a box trifecta bet? There are ways to make a box trifecta bet.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 39E
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Playing the horses: In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, and which will come in
third, in the correct order. One can make a box trifecta bet by specifying which three horses will come in first, second, and third, without specifying the order.
Part 1 of 2
(a) In a six-horse field, how many different ways can one make a trifecta bet?
There are
ways to make a trifecta bet.
Part 2 of 2
(b) In a six-horse field, how many different ways can one make a box trifecta bet?
There are
ways to make a box trifecta bet.
Transcribed Image Text:Playing the horses: In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, and which will come in third, in the correct order. One can make a box trifecta bet by specifying which three horses will come in first, second, and third, without specifying the order. Part 1 of 2 (a) In a six-horse field, how many different ways can one make a trifecta bet? There are ways to make a trifecta bet. Part 2 of 2 (b) In a six-horse field, how many different ways can one make a box trifecta bet? There are ways to make a box trifecta bet.
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