а)there is no restriction on their profession.b)there should be same number of doctor and nurses selected.c)at least two of the selected people are doctors. In a group of 5 doctors and 6 nurses, 4 people are to be selected. In how many ways can they beselected if

Answered: Image /qna-images/answer/3c967e93-abbc-4176-aca2-dc919347608e.jpg

Answered: a) there is no restriction on their…

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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Show all work please!
6. Suppose the following people went to a summer camp: 27 boys, 15 city children, 27 men, 21 non-city boys, 42 people from the city, 18 city males and 21 non-city females. How many people when to summer camp? Show your reasoning. This uses the principle of inclusion/exclusion.
Identify each problem as Permutation, combination, or both permutatin and combination problem. 4. Seven friends are seated around a circular table at a wedding reception. In how many ways can they be arranged if: a. two particular people must sit together? b. two particular people must not sit beside each other? c. they are seated around a table relative to a widow? 5. A student in senior high school is to select 2 electives for the first semester. a. In how many ways can the student select 2 electives from 5 offered electives? b. In how many ways can the student select one elective with a Monday - Thursday schedule and another elective scheduled every Tuesday - Friday from the 5 electives, if all 5 electives have available schedules on all given days? c. In how many ways can this be done if the student must select 1 elective out of 3 morning electives and another elective out of the 2 afternoon electives?
Suppose the group of twelve consists of five men and seven women. a) How many five-person teams can be chosen that consist of three men and two women? b) How many five-person teams contain at least one man? c) How many five-person teams contain at most one man?
Seven office mates, three women (Fran, Gladys and Helen) and four men (John, Karl, Leonard and Mark), eat only at restaurants A, B or C and there are the following restrictions:i. Fran, the only day she eats at a restaurant is Wednesday and on the other days she eats at home.ii. Gladys and Karl can never go to a restaurant together.iii. Helen won't go to a restaurant unless Fran also goes.iv. John and Mark will not go to the same restaurant together unless Gladys also goes.v. Karl will never go to restaurant B.b. What is the maximum number of classmates who can go to eat together at one of the three restaurants on Tuesday (justify your answer)?i. 3ii. 4iii. 5iv. 6v. 7
In a certain school, there are 180 pupils in 100level; 110pupils studyFrench,88 study German and 65 study Indonesian. If 40 pupils study both French and German,38 study German only. Find the number of pupils who study: (a.) All three languages (b.) Indonesian only(c.) None of the languages (d.) At least one language (e.) Either one or two of the three languages
3. Suppose there are 6 black pens, 7 blue pens, and 5 red pens. Find the number of ways you can choose: a) one of the pens b) one of each type of pens
There are 3 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee, 1 woman and 2 men are to be appointed. In how many ways can this be done if the following are available to serve? a) 8 men and 9 women b) 3 men and 3 women
i need d,e,f And D part. dont need A,b,c subparts
A survey of 500 television watchers produced the following information: 285 watch football games, 195 watch hockey games, 115 watch basketball games, 4 watch football and basketball games, 70 watch football and hockey games, 50 watch basketball and hockey games. 50 do not watch any three kinds of games. Find: i) How many in the survey watch all 3 kinds of games? ii) How many watch exactly one of the sports?
Seven office mates, three women (Fran, Gladys and Helen) and four men (John, Karl, Leonard and Mark), eat only at restaurants A, B or C and there are the following restrictions:i. Fran, the only day she eats at a restaurant is Wednesday and on the other days she eats at home.ii. Gladys and Karl can never go to a restaurant together.iii. Helen won't go to a restaurant unless Fran also goes.iv. John and Mark will not go to the same restaurant together unless Gladys also goes.v. Karl will never go to restaurant B.a. If six of the classmates eat together at one of three restaurants on a Wednesday, which of the following will be absent (justify your answer)?i. Gladysii. Heleniii. Johniv. Karlv. Leonard
In a group of 200 students, the following facts are known: 75 are taking French, 80 are taking Japanese, 65 are taking English, 22 are taking both French and Japanese, 30 are taking French and English, 25 are taking Japanese and English, and 10 are taking all three-language courses. Find the following: a) The number of students taking exactly one course. b) The number of students not taking any course. c) The number of students who are taking both Japanese and French but not English. d) The number of students who are taking only French. e) The number of students taking any course.

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a) there is no restriction on their profession. b) there should be same number of doctor and nurses selected. c) at least two of the selected people are doctors.