A birdcage contains 4 macaws, 4 parrots, 4 canaries, and 4 finches. Each group has a bird of the colors white, green, red, and yellow. a. How many ways can a blue bird be chosen? b. How many ways can a green bird or a canary be chosen? c. How many ways can three birds be chosen so that each have a different color?

Q: How many ways are there to pick one employee as president of the union, and then k different…

A: Given : N employees  We need to pick one member as president  K different as leadership council.

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: There are 12 athletes joining the Marathon therefore the places can be chosen as follows: The first…

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, honey…

A: Given Information: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: Let 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards, out of…

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, 2. honey…

A: Given: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: from a group of 21 people, how many different ways an a committee consisting of a president,…

A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…

Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: 7) The applicant pool for 6 management trainee positions consists of 7 women and 5 men. a) How many…

A: We have to use formula for combination as nCr = n!/r!(n-r)!

Q: An ordinary deck of 52 cards consists of four suits: clubs, diamonds, hearts spades A. How many…

A: Given An ordinary deck of 52 cards consists of four suits:  clubs, diamonds, hearts spades

Q: How many ways can a Captain, Vice-captain and team manager be chosen from a team of 22 persons

A: Given

Q: 8 Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36…

A:

Q: How many different letter arrangements can be made from the letters in the word of…

A: Here,I have answered for questions a...bacuase as per Bartleby guideline,iam only allowed to solve…

Q: (a) In how many ways can one component of each type be selected? (b) In how many ways can components…

A:

Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

A:

Q: From a group of 11 Democrats and 9 Republicans, a Social Justice committee of 6 must be chosen…

A: Note: We are required to answer only first 3 subparts, unless specified. Given: Number of Democrats…

Q: The chess club has six members. ​(a) In how many ways can all 6 members line up for a​ picture? ​(b)…

A:

Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

A: The number of ways r items can be selected from n different items is equal to C(n,r) . The formula…

Q: How many ways are there to choose four aces from a standard 52-card deck? How many ways are there to…

A: Hello there! Thank you for the question. According to our honor code can answer only three sub parts…

Q: In how many ways can the 40 members of a company club select a president, a vice president, and a…

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

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: The BMCC math club has 50 members. a. In how many different ways can it select a group of 4…

A: he BMCC math club has 50 members.

Q: In designing a new home entertainment​ center, there is a choice of 5 different​ TVs, 6 different​…

A: The combination formula is

Q: (b) If the order of the choices is not taken into consideration, how many ways can this be done? (a)…

A:

Q: In how many ways can a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: Given 10 different English books, six different French books, and four different German books, (a)…

A: We have to find given no. Of ways.

Q: 3. The environment club is electing a president, vice president, and treasurer. How many different…

A: Here, we have to choose 3 person out of 12, thus this is a combination question So, the answer is =…

Q: 1: In a competition of 50 professional ballroom dancers, 22 competed in the fox-trot competition, 18…

A: As per our guidelines we can answer only one question. please repost other seperately.

Q: In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors in…

A:

Q: 7. Given 10 different English books, six different French books, and four different German books,…

A: Given Data: n(English)=10 n(French)=6 n(German)=4 Total=20

Q: A company has 10 members on its boards of directors. In how many different ways can they elect a…

A: The total number of board of directors = 10. The officers need to be elected = 4 (President,…

Q: A. How many ways can 7 people line up in a cafeteria line? B. How many ways can five people be…

A:

Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

A:

Q: If a new car buyer has the choice of 4 bod styles, 3 engines, 10 colors, with or withou air…

A: Given Information: A new car buyer has the choice of 4 body styles, 3 engines, 10 colours, with or…

Q: In how many different ways can we select a committee consisting of 4 engineers 3 chemists, and 2…

A: Given Information: To find out the number of different ways we can select a committee consisting of…

Q: In how many ways can 5 students line up for a registration?

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

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

A:

Q: A group has 12 members. In how many ways can 4 officers consisting of president , vice-president ,…

A: Total members n=12 no of officers r=4 Total no of ways=?

Q: From a group of 10 men and 12 women, a 10-member committee is formed. In how ways can the committee…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: How many ways can a​ president, ​vice-​president, and secretary be chosen from a club with 11…

A:

Q: At a music​ festival, there are eight bands scheduled to​ play, numbered 1 through 8.   a. How many…

A: Given that ; Total bands (n) = 8 By using factorial concept we solve this problem

Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: (a) In how many ways can 13 cards be selected from a deck? (b) In how many ways can 13 cards be…

A: There are 52 cards in a deck we need to select 13 from a deck of 52 cards 13 cards can be selected…

Q: In how many ways can three hearts be drawn from a deck of cards? (Order is not important.) _____…

A: Given: There are 13 hearts in total

Q: In a group of some people, 145 people can speak English and 90 can speak French and 55 can speak…

A: a). Therefore there are 180 people in the group.

Q: How many ways can 10 people (Luffy, Zoro, Nami, Usopp, Sanji, Chopper, Robin, Franky, Brook, Jimbei)…

A:

Q: In how many ways can a class of 32 students select a president, vice president, treasurer, and…

A: Given, Total number of students = 32  Selected students : 1 President, 1 vice president, 1 treasurer…

Q: If a club consists of 15 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: If there are 22 members in a club, how many ways can a President, VP, Secretary, and Treasurer be…

A: