6. I I have to invite 7 out of my 14 friends to a party. In how many ways can I do that if a. Both of my friends Abu and Deps will be part of the group? b. Only one of them will be part of the group? c. None of them will be part of the group?

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

Q: n a survey of a TriDelt chapter with 50 members, 19 were taking mathematics, 34 were taking English,…

A: Total members who are taking only mathematics can be calculated as: = 19-6 = 13 Total members who…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A:

Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US…

A:

Q: How many different 4-letter radio-station call letters can be made   if the first letter cannot be…

A: Given: 4- letter radio-station call letter has to be made with first letter should not be A, B or C…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: When the members of a family discussed where their annual reunion should take place, they found that…

Q: Eleven players have gathered to play 5-on-5 basketball. (a) If they have decided that one of the…

A: a) From a group of 11 players, we can pick a 5 player team in 11C5 ways.  When 5 players have been…

Q: 19 An Engineers Association consists of 5 civil engineers and 5 mechanical engineers. (a) In how…

A:

Q: 10. In how many ways can 3 men and 3 women be seated at a round table if (a) no restriction is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If in a convention, 53 people liked coffee A, 52 people liked coffee b, 42 people liked the coffee…

A:

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

Q: A woman has 11 close friends. (i) In how many ways can she invite 6 of them to dinner? (ii)  In how…

A: Total number of friends are 11.i Number of ways in which she can invite 6 of them.C611=11!6! 5!…

Q: 4-person grievance committee is to be selected out of 2 departments, A and B, with 15 and 25 people.…

A:

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A:

Q: 9. In how many ways can a committee of 5 persons be chosen from 7 ladies and 9 men if there is no…

A: As per Bartleby guideline, we have answered only the first question. If you want to get the answer…

Q: 1| A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A:

Q: 2. How many different committees of 4 members can be formed from a group. with 7 seniors and 6…

A: Permutations is the collection of items or elements arranged in a different way with ordering where…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

A:

Q: When a group of colleagues discussed where their annual retreat should take place, they found that…

A: Let A represent the colleagues who would not go to a park. Let B represent the colleagues who would…

Q: 4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and…

A: As you have asked many questions. As per the answering guidelines we will solve first question only.…

Q: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: 1. If there are two ways to go to Pampanga from Manila and three ways to go to Bataan from Pampanga…

A: Manila to Pampanga : 2 ways Pampanga to Bataan : 3 ways From Batana to La Union : 5 ways     in how…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: Member would not go to park be n(P)=12 Member would not go to beach be n(B)=10 Member would not go…

Q: A camp counselor and six campers are to be seated along a picnic bench. In how many ways can this be…

A:

Q: 1) A committee of 5 is to be selected from a group of 7 men and 6 women. How many different|…

A:

Q: A group of 150 tourists planned to visit East Africa. Among them, 3 fall ill and did not come, of…

A: Consider the provided question, First draw the Venn diagram according to the given question, Let K…

Q: A collection of eight blue blocks and seven red blocks, all with distinct shapes, are to be lined up…

A: When the blocks are lined up, their position can be marked up as   (1) (2) (3). . . . . . . (15)  As…

Q: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: 6-a-in how many ways may can five persons line up to get a bus ? B-in how many ways may these same…

A: b)

Q: 4. A committee of 6 officials is to be chosen from 8 men and 7 wor If the committee is to contain at…

A:

Q: 22 The parent-teacher's association committee of a school consisting of 6 members is to be formed…

A: We have to apply the concept of combinations to find the number ways in each cases.

Q: 1. There are 5 teenagers and 8 adults available for a 5-p. teenager and one adult, how many possible…

A:

Q: A committee of 5 is to be made from 3 students and 6 teachers. In how many ways can this be done a.…

A:

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A: Given: Shorthand representation NP= Not go to the park NB= Not go to the beach NC= Not go to the…

Q: In a survey of 105 people, it was found that 40 have lived only in New York, 35 have lived only in…

A: Given, In a survey of 105 people, it was found that 40 have lived only in New York,  35 have lived…

Q: 1. The IE Falcons plays 14 games during the COE Basketball Tournament. In how many ways can the team…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: 2. A footbal! team of 11 players is to be selected from short list of 16 players. Find the number of…

A: Given: Number of players = 16 Number of players selected = 11

Q: How many different 5​-letter radio station call letters can be made a.  if the first letter must be…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: 3) In MAPEH competition, 90 medals are awarded in different categories: medals in sports, medals in…

A:

Q: 3. How many different 5-digit identification tags can be made a.if the digits can be used more than…

A: Given: Number of digits in an identification code = 5 Total number of digits = 0 to  9 = 10

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: We can solve it using Venn diagram

Q: 1. There is a deck of 52 cards. How many ways are there to distribute 13 cards to each of 4 players?

A:

Q: Mrs. Cruz asked her 30 students who among their mother, father, or sibling will attend the quarterly…

A: Let us consider A , B, C be three sets then  Some Properties of the set theory n(only…

Q: 3. A teacher will ask the first student that arrives to class to hand out papers, the second student…

A: given,      total number of students =16, first student to hand out papers ,second student to take…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A:

Q: In how many ways can a PICE chapter with 30 directors choose a president, a vice president, a…

A:

Q: Suppose that thirty-two students signed up for classes during an orientation session. If exactly…

A: Given Total number of students signed up for the classes during an orientation session = 32 Exactly…

Q: Suppose that there is a proposal on campus involving the bus schedule, in which students were asked…

A: 50% favored Saturday service 57% favored late-night service 30% favored both.

Q: In how many ways can a large retail store select 3 sites on which to build a new store if it has 12…

A: We have to find given combination possible.