Please answer all parts. Will make sure to rate thank you! 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 includesNO freshmen? Answer in factorial notation, permutation or combination notation:

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Probability

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:

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:

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Please answer all parts. Will make sure to rate thank you!

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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