Consider a popular ramen stall. Before the shop opens, there are 20people waiting in front of the restaurant (a) How many ways are there to form a single line from these 20 people?(b) How many ways are there to form two equal lines(order matters) from 20people? (The two lines are indistinguishable).(c) How many ways are there to form two indistinguishable lines from 20 people?Each line may contain from 0 to 20 people but the total must add up to 20and the order of people in each line matters

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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Consider a popular ramen stall. Before the shop opens, there are 20
people waiting in front of the restaurant

(a) How many ways are there to form a single line from these 20 people?
(b) How many ways are there to form two equal lines(order matters) from 20
people? (The two lines are indistinguishable).
(c) How many ways are there to form two indistinguishable lines from 20 people?
Each line may contain from 0 to 20 people but the total must add up to 20
and the order of people in each line matters

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