C. There are 30 Civil Engineers in the room; 16 of them are specialized in horizontal construction (HC); 14 in vertical construction (VC); and the others are in underground construction (UC). From among these CE, 5 of them specialized both HC and VC; 4 of them in VC and UC; and 5 in UC and HC. And there are 3 of them who specialized in all of the fields of construction. How many specialized in UC?

C. There are 30 Civil Engineers in the room; 16 of them are specialized in horizontal construction (HC); 14 in vertical construction (VC); and the others are in underground construction (UC). From among these CE, 5 of them specialized both HC and VC; 4 of them in VC and UC; and 5 in UC and HC. And there are 3 of them who specialized in all of the fields of construction. How many specialized in UC?

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...

See similar textbooks

Related questions

Q: The number of students in classes P, Q, R and S is 6:5:3:2 respectively. The total marks scored by…

A: Introduction :

Q: A tire company wants to determine if tires made with a new type of tread will last longer than tires…

A: A tire company : Two types of threads : 1 : new type of thread 2 : orginal type of thread Now ,…

Q: Find the number of ways in which two Americans, two British, one Chinese, one Dutch and one Egyptian…

A: Given that, two Americans, two British, one Chinese, one Dutch and one Egyptian.

Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).

A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…

Q: 2. A large industrial plant has six divisions that do the same type of work. A safety inspector…

A: Scatter Plot : Graphical representation of the relationship between two numeric values.Correlation :…

Q: Halmar the Great has boasted to his hordes of followers that many a notorious villain has fallen to…

A: Let the number of evil sorcerers be x, the number of trolls is y, and the number of orcs is z. Then…

Q: 2. A Nonogram is a grid of squares that must be filled in black (indicates a filled space) or marked…

Q: There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing…

A: Given information- We have given that at Lilly hospital there are 3 nursing position, No. of…

Q: Which situation has a greater number of possibilities, one in which order matters or one in which…

A: When the order in which the elements are arranged matters, then Permutation is used. When the…

Q: Patty has just completed her second semester in college. She earned a grade of A in her 2-hour…

Q: Halmar the Great has boasted to his hordes of followers that many a notorious villain has fallen to…

A: Take "s" as sorcerers slain, Take "t" as trolls slain Take "o" as orcs slain, Total number of…

Q: Suppose we want to choose 5 objects, with replacement for 8 distinct objects. If the order of these…

Q: Halmar the Great has boasted to his hordes of followers that many a notorious villain has fallen to…

A: Let there be x number of victims from evil sorcerers. Let there be y number of victims from trolls.…

Q: There are 3300 students at Northwestern High School and 1/4 of these students are juniors. If 3/5 of…

Q: There are 15 married couples in a dressing room. The photographer is tasked to take a picture of…

A: We need to find the number of people who must be called out of the room so that he is sure that…

Q: A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying…

Q: There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing…

A: 3 Nursing positions to be filled atlilly HospitalPosition1-Nursing supervisionPosition:2→night…

Q: Imagine that the final exams for five courses need to be scheduled, and only two time slots are…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: There are 4 major roads from city x to city y and 3 major roads from city y to coty z. How many…

Q: There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing…

A: Given: There are total 11 candidates and 3 positions.

Q: There are 10 teams. There are two periods; where 5 presentations have to be made for each one. How…

Q: Halmar the Great has boasted to his hordes of followers that many a notorious villain has fallen to…

A: Halmar the Great has boasted to his hordes of followers that many a notorious villain fallen to his…

Q: T1.3 An ice hockey team has 6 forwards, 8 defencemen, and 2 goaltenders. a) In how many ways can…

A: Given that, An ice hockey team has 6 forwards, 8 defencemen, and 2 goaltenders. Calculation Part:…

Q: The Phony TV company makes two different types of television sets, OLED and LED, which are assembled…

A: Consider the given: OLED model assembled per hour , when operated by line 1 =30 units. LED model…

Q: After it's new expansion funded by donations from graduates of the MSDS program, Welsh-Ryan Arena…

A: The substitution method or the elimination method can be used to solve a system of equations. We…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 5…

A: Given that, A delivery driver has time to make deliveries at 5 locations among the 9 locations.…

Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are…

A: Given : The number of routes from A to B is 4 The number of routes from B to C is 8. The number of…

Q: mansion. His guests include 10 from the USA (US) India (IN), 5 each from the United Kingdom (GB) and…

A: 1: Introduction: A generating function is a mathematical tool used to encode a sequence of numbers…

Q: Answer the following questions about Mario, Luigi, Toad, Toadette and Princess Peach. (A) How many…

A: A) There are 5 of them. The first position can be filled in 5 ways The second position in 4 ways,…

Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

C. There are 30 Civil Engineers in the room; 16 of them are specialized in horizontal
construction (HC); 14 in vertical construction (VC); and the others are in
underground construction (UC).
From among these CE, 5 of them specialized both HC and VC; 4 of them
in VC and UC; and 5 in UC and HC. And there are 3 of them who specialized in
all of the fields of construction.
How many specialized in UC?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Patty has just completed her second semester in college. She earned a grade of B in her 4-hour topology course, a grade of A in her 1-hour sociology course, a grade of C in her 5-hour engineering course, and a grade of C in her 4-hour studio art course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Patty's grade-point average for the semester. Patty's grade point average is nothing. (Round
A restaurant that is famous for its desserts offers 100 different dessertst Of these desserts, 45 contain chocolate, 30 contain nuts, and 20 contain both chocolate and nuts. You are allergic to both chocolate and nuts. How many different desserts can you order such that the dessert has neither chocolate nor nuts?
It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible? а. 3520 O b. 2880 О с. 3021 O d. None
How many seating arrangements can be formed by seating Alyssa, Bea, Kat, Dy, Isabel in a row: a. If Bea and Kat shouldn’t sit together, and neither should Isabel and Dy. b. If neither Alyssa nor Kat should sit beside Bea c. If Alyssa shouldn’t sit to the immediate left of Bea, and Kat shouldn’t sit to the immediate right of Bea. d. If Bea sits somewhere to the left of Isabel, and Isabel sits somewhere to the left of Dy.
There are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes are two even smaller boxes. How many boxes are there all together?
Please answer all (:
1. A Garments Factory produces 2 kinds of curtains: Curtain A and Curtain B. For materials, the factory has 2250 sq. meter of satin fabric and 1200 sq. meter of silk fabric. To produce curtain A, it needs 6 sq. meters of satin fabric and 4 sq, meters of silk fabric , while producing curtain B requires 3 sq. meters of satin and 1 sq. meter of silk fabric. If the curtain A can sold for P 200 per set and Curtain B can be sold for P 150 per set, what is the number of curtain A and curtain B that the garment factory must produce to obtain a maximum sale?
Three months later some vehicles have sold and new models have been brought into the Wheel Shop. Now, there are a different number of bicycles, tandem bicycles, and tricycles in the shop. There are a total of 135 seats, 118 front handlebars (that steer the bike), and 269 wheels. How many bicycles, tandem bicycles and tricycles are there in the Wheel Shop?
A fashion designer needs to design a new shirt. She has 7 different types of materials, 14 different colors for each material, and 9 different styles she can create. How many different shirts could the designer create using these parameters?
Problem: Of 1,000 people consulted, 811 liked chocolates, 752 liked toffees and 418 liked sweets, 570 liked chocolates and toffees; 356 chocolates and sweets and 348 liked toffees and sweets : 297 liked all three. Is this information correct?
Solve question 10 and take a thumb up plz
D,E,F,G