Imagine a lottery where balls numbered from 1 to 49 are placed in an urn and three are sequentially picked at random. Note that the same number (ball) cannot be picked twice (i.e., once a ball is picked, it remains out of the urn). You win the lottery if your ticket, which consists of three numbers from 1 to 49, has the exact numbers that were picked at random. The order in which the numbers are randomly picked does not matter. How many possible combinations does this lottery have? 110,544 19,608 117,649 18,424
Imagine a lottery where balls numbered from 1 to 49 are placed in an urn and three are sequentially picked at random. Note that the same number (ball) cannot be picked twice (i.e., once a ball is picked, it remains out of the urn). You win the lottery if your ticket, which consists of three numbers from 1 to 49, has the exact numbers that were picked at random. The order in which the numbers are randomly picked does not matter. How many possible combinations does this lottery have? 110,544 19,608 117,649 18,424
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...
Related questions
Question
Q7
Transcribed Image Text:Imagine a lottery where balls numbered from 1 to 49 are placed in an urn and three
are sequentially picked at random. Note that the same number (ball) cannot be
picked twice (i.e., once a ball is picked, it remains out of the urn). You win the lottery
if your ticket, which consists of three numbers from 1 to 49, has the exact numbers
that were picked at random. The order in which the numbers are randomly picked
does not matter. How many possible combinations does this lottery have?
110,544
19,608
117,649
18,424
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL