From a group of 30 patients receiving a standard chemotherapy treatment for lymphoma, 5 can be chosen for an additional experimental treatment that may ameliorate most side effects. How many different groups of 5 can be chosen from the initial group of 30?

Q: How many committees of five can be selected from eight men and seven women if the committees contain…

A: Probability when 2 men can be selected from 8 men = 8C2 Probability when 3 women can be selected…

Q: A pharmaceutical company recently hired 5 biologists, 3 chemists, 4 environmental scientists, and 3…

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Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: How many different teams of 44 can be chosen from a group of 1818 children and 1515 adults if each…

A: It is given that the number of children is 18 and the number of adults is 15.

Q: How many license plates consisting of three letters followed by three digits contain no letter or…

A: Here we have to find  out the combination of licence plate where repetition  of  letters and digits…

Q: How many different teams of 4 can be chosen from a group of 15 children and 17 adults if each team…

A: According to provided data, there is total of 15 children (C) and 17 adults (A). Therefore, the…

Q: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

A: Given: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

Q: A manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs. If 5% bulbs are…

A: It is given that a manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs.…

Q: How many teams of 4 can be chosen from a group of 15 adults and 10 children if each team must have…

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Q: A softball league has 13 teams. If every team must play every other team once in the first round of…

A: We are given that there are 13 teams and every team needs to play against every other team. For exam…

Q: A manufacturer knows from experience that for every 100 widgets that are produced at her factory, 3…

A: Given Information- Out of every 100 widgets produced 3 will be defective. Using Unitary method We…

Q: How many ways can a delegation of 4 Republicans, 4 Democrats, and 2 Independents be selected from a…

A:

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Given : Total number of people = 20 Number of committee member = 6

Q: A group has 10 men and 7 women. If 6 people are selected for a committee so that the majority of the…

A: Total number of people are 10+7=17 For the committee to be made with majority women, number of…

Q: In a certain village 20% of the population is literate, and assume that 150 investigators take a…

A: Given,n=10p=0.2q=1-p=1-0.2=0.8X=no.of literates in the sampleX~Binomial (n=10 , p=0.2)P(X=x)=cxn px…

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

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

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Q: Of the 328 patients that completed the survey last year, 211 of them claimed to be returning…

A: Given: 328 patients completed the survey 211 patients returning

Q: The group of qualified candidates for five positions is made up of eight women and six men. How many…

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Q: A take-out restaurant offers 6 different kinds of sushi. If they have exactly 4 pieces of eachkind…

A: Given: There are 6 different kinds of sushi, with exacctly 4 pieces of eachkind. To determine:…

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

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Q: From the 10 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

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Q: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: From a group of 30 patients receiving a standard chemotherapy treatment for lymphoma, 5 can be…

A: As per the question, 5 people has to be chosen out of 30 patients.

Q: From the 12 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: n soccer, a tie at the end of regulation time leads to a shootout by three members from each team.…

A: Given that  Number of players available (n) = 11 Players need to be selected = 3   We know that We…

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

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Q: Of the trains that recently arrived at Hampton Station, 4 were on time and 2 were late. Considering…

A: It is an important part of statistics. It is widely used.

Q: From the 10 male and 7 female sales representatives for an insurance company, a team of 4 men and 2…

A: Given that from the 10 male and 7 female sales representatives for an insurance company a team of 4…

Q: From 6 female employees and 5 male employees, how many groups of 5 employees can be organized…

A: There are 6 female employees and 5 male employees.

Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

Q: he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to…

A: Given Number of zinfondel bottles z=11 Number of Merlot bottles m =7 Number of cobernet bottles c=13…

Q: there are 6000 students at mountain high school and 3/4 of these students are seniors,if 2/3 of the…

A:

Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team…

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: If 8 subjects  are selected from the 12 that are available  and the 8 selected subjects are all…

A: Given that 8 subjects are selected from the 12 subjects. The selected 8 subjects are all treated at…

Q: A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank with the…

A: Given, A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank…

Q: How many ways can a photographer arrange 10 friends in a row for a photo if two of the friends are…

A: Given information We have to arrange 10 friends in a row and two friends doesn’t wants to sit…

Q: A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and…

A: Given problem Given that   A jury of 12 people is to be chosen from 10 men and 12 women.

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: In a buffet, there are 4 choices of appetizers, 5 choices for the main dish, and 3 choices for the…

A: The answer is attached below,

Q: How many committees of six can be formed from 18 Republicans and 20 Democrats if three members of…

A: Provided information: Number of Republicans members = 18 Number of Democrats members = 20

Q: How many ways are there to select 2 people from a group of 7 to serve on a committee? What kind of…

A: We have given there is group of 7 and we have to select 2 people from this group to serve on a…

Q: If you pick 4 cards without replacement from a standard deck of 52 cards, how many different…

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Q: A certain elementary school club has 50 members, 20 of which are girls and 30 are boys. If the club…

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Q: In a group of 80 people, 50% of them like Summer season, 70% of them like Winter season. If each…

A:

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.