A high school club consists of 5 fre a. How many ways can a committee of 4 people be chosen that includes one student from each class? Answer: b. How many ways can a committee of 4 people be chosen that includes 4 juniors? Answer: c. How many ways can a committee of 4 people be chosen that includes two freshmen and 2 seniors? Answer: d. What is the probability that a committee of 4 people selected at random does not include any freshmen? Answer in factorial notation, permutation or combination notation: e. What is the probability that a committee of 4 people selected at random includes at least three seniors given that the committee includes NO freshmen? Answer in factorial notation, permutation or combination notation:
A high school club consists of 5 fre a. How many ways can a committee of 4 people be chosen that includes one student from each class? Answer: b. How many ways can a committee of 4 people be chosen that includes 4 juniors? Answer: c. How many ways can a committee of 4 people be chosen that includes two freshmen and 2 seniors? Answer: d. What is the probability that a committee of 4 people selected at random does not include any freshmen? Answer in factorial notation, permutation or combination notation: e. What is the probability that a committee of 4 people selected at random includes at least three seniors given that the committee includes NO freshmen? Answer in factorial notation, permutation or combination notation:
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors.
a. How many ways can a committee of 4 people be chosen that includes one student from each class? Answer:
b. How many ways can a committee of 4 people be chosen that includes 4 juniors? Answer:
c. How many ways can a committee of 4 people be chosen that includes two freshmen and 2 seniors? Answer:
d. What is the probability that a committee of 4 people selected at random does not include any freshmen? Answer in factorial notation,
permutation or combination notation:
e. What is the probability that a committee of 4 people selected at random includes at least three seniors given that the committee includes
NO freshmen? Answer in factorial notation, permutation or combination notation:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b3a8f92-571f-4201-a0f6-652765dac555%2F785168dd-39a7-4bda-82a0-be6a67961759%2Fmkrbxgk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors.
a. How many ways can a committee of 4 people be chosen that includes one student from each class? Answer:
b. How many ways can a committee of 4 people be chosen that includes 4 juniors? Answer:
c. How many ways can a committee of 4 people be chosen that includes two freshmen and 2 seniors? Answer:
d. What is the probability that a committee of 4 people selected at random does not include any freshmen? Answer in factorial notation,
permutation or combination notation:
e. What is the probability that a committee of 4 people selected at random includes at least three seniors given that the committee includes
NO freshmen? Answer in factorial notation, permutation or combination notation:
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