2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the committee be formed if (a) the dean must be in the committee? (b) any four will be chosen from the group? (c) the committee

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Topic Video
Question

Pls answer all items pls thank u

2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the committee
be formed if (a) the dean must be in the committee? (b) any four will be chosen from the group? (c) the committee
consists of teachers only?
3. From a list of 40 teachers, 5 are to be promoted to subject area coordinator. In how many ways can this be done?
4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's menu?
5. A catering service offers 8 appetizers, 10 main courses, and 7 desserts. A banquet committee is to select 3
appetizers, 4 main courses, and 2 desserts. How many ways can this be done?
6. One serving of banana split contains three scoops of different flavors of ice cream, 3 different syrups, 2 different
types of nuts, and with or without whipped cream. How many different ways can a banana split be made if there
are 12 ice cream flavors, 8 syrups, and 4 types of nuts to choose from?
7. Suppose 6 female and 5 male applicants have been successfully screened for 5 positions. In how many ways can
the following compositions be selected? (a) 5 people regardless of sex. (b) 3 females and 2 males; (c) at least 3
females; (d) 4 females and 1 male; (e) 5 females.
8. How many 4-person committees are possible from a group of 10 people including Francis and Jojo if (a) there are
no restrictions? (b) both Francis and Jojo must be in the committee? (c) either Francis or Jojo (but not both) must
be in the committee?
9. Awarehouse receives a shipment of 20 computers, of which five are defective. Eight computers are then randomly
selected and then delivered to a store. In how many ways can the store receive (a) no defective computer? (b)
three defective computers? (c) all five defective computers?
10. A 5-card hand is dealt from a standard 52-card deck. How many ways (a) such hands are possible? (b) contain both
a queen and a king? (c) contain 3 face cards and an 8? (d) contain only red cards?
2
Transcribed Image Text:2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the committee be formed if (a) the dean must be in the committee? (b) any four will be chosen from the group? (c) the committee consists of teachers only? 3. From a list of 40 teachers, 5 are to be promoted to subject area coordinator. In how many ways can this be done? 4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's menu? 5. A catering service offers 8 appetizers, 10 main courses, and 7 desserts. A banquet committee is to select 3 appetizers, 4 main courses, and 2 desserts. How many ways can this be done? 6. One serving of banana split contains three scoops of different flavors of ice cream, 3 different syrups, 2 different types of nuts, and with or without whipped cream. How many different ways can a banana split be made if there are 12 ice cream flavors, 8 syrups, and 4 types of nuts to choose from? 7. Suppose 6 female and 5 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? (a) 5 people regardless of sex. (b) 3 females and 2 males; (c) at least 3 females; (d) 4 females and 1 male; (e) 5 females. 8. How many 4-person committees are possible from a group of 10 people including Francis and Jojo if (a) there are no restrictions? (b) both Francis and Jojo must be in the committee? (c) either Francis or Jojo (but not both) must be in the committee? 9. Awarehouse receives a shipment of 20 computers, of which five are defective. Eight computers are then randomly selected and then delivered to a store. In how many ways can the store receive (a) no defective computer? (b) three defective computers? (c) all five defective computers? 10. A 5-card hand is dealt from a standard 52-card deck. How many ways (a) such hands are possible? (b) contain both a queen and a king? (c) contain 3 face cards and an 8? (d) contain only red cards? 2
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning