For a local baseball team, there are 15 players on your team.  Your team is allowed to have 12 active players and 3 substitutes. a.) Determine the number of ways you can have 12 active players.  b.) Baseball has 9 distinctly different positions in the game. Determine the number of ways you can arrange the 9 positions from the 12 active players.

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ball point pens, and 1…

A: Consider the given statement,Student has a cup with 8 writing implements: 4 pencils, 3 ball point…

Q: The eleven players of the CHS sepak takraw team are to be photographed for the team's tarpaulin. In…

A: Here, the question is in how many ways can 11 players can be arranged in a row.

Q: 5. When ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the…

A: 3.  choice of hard drive   4.  choice for the amount of Memory   2.  choice of video card…

Q: A jar contains 5 white balls, 8 black balls, and 6 red balls. In how many ways can 5 balls be…

A:

Q: Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (a) How many…

A: Permutations and combinations

Q: Assume that the student has a cup with 9 writing implements: 5 pencils, 3 ball point pens, and 1…

A: Given data: *There are 9 writing implements out of which 5 are pencils, 3 are ball point pens and 1…

Q: In a club with 20 members, how many ways can a slate of 3 officers consisting of president,…

A: This question is related to permutation and combination. The solution is given below

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

Q: 7 Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: Given that a student has a cup with 6 writing implements :3pencils,2 ball point pens and 1 felt -tip…

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

A: 1. There are 12 athletes joining the Baguio Marathon Event. First place can be chosen by 12 ways, as…

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

A:

Q: Out of the 12 people applying for a scholarship, a) how many ways can we select a group of five to…

A: N : number of students = 12 a) To select 5 people. = (12),(11),(10),(9),(8)  are the choices for…

Q: Consider a Little League team that has 15 players on its roster. (a) How many ways are there to…

A:

Q: In a student organization, there are 11 freshmen, 8 sophomores, 19 juniors and 24 seniors. 1. How…

A:

Q: 2. A jury of 12 people is chosen from a pool of 35 potential jurors can be chosen?

A:

Q: There are 23 guest at your home for a dinner party. In how many ways could the guest arrange…

A:

Q: Your school principal wants to select a group of six students from your class of 15 students to…

A: Combination: A combination is a selection of items from a group of items, where the order of…

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: A baseball manager has 12 players on his team but only nine players can play on the field at one…

A: Given that the baseball manager has 12 players on his team but only nine players can play on the…

Q: A rowing crew of 4 rowers is to be selected, in order from the first seat to the fourth seat, from…

A: The number of different arrangements possible are calculated as shown below for each of the given…

Q: Suppose a class consists of 3 students majoring in Islamic Studies, 4 students majoring in english…

A: Given, A class consists of 3 students majoring in Islamic Studies, 4 students majoring in English…

Q: a. Viet Nam Airline has five flights from Ha Noi to Da Nang and six flights from Da Nang to Ho Chi…

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

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

Q: How many different eleven-member football teams can be formed from a possible 35 players if…

A: Total no. of possible players = 35 No. of players in a team=11

Q: an insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: Firstly, find the number of different ways in which the agent can telephone the 5 prospects today.…

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

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

Q: Consider the letters a, b, c, d, & e .  In how many different ways can three letters be selected and…

A: Consider the letters a, b, c, d, & e Total 5 letter  ways to select three letter will be 5C3 =…

Q: Assume that the student has a cup with 9 writing implements: 4 pencils, 3 ball point pens, and 2…

A: 1) The formula for combination is C(n, r) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: Al's Pizza is to expand its operation by opening 3 new stores in Calgary, 1 new store in Red Deer,…

A: 8 new restaurants to be expanded in three different cities. City Number of possible locations The…

Q: 2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages…

A:

Q: Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: 1) According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How…

A: Given that a box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are…

Q: a. Determine the number of ways that we can choose committee of 4. b. Determine the number of ways…

A: Solution;  Total nonof students =10  No of men=6. & No of women=4 a): to choose a committee of 4…

Q: If the goal keeper and defender should be selected from Class X that has 8O students for school…

A:

Q: . Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How…

A: Given that a box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are…

Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…

Q: There are 5 players on the Rockets three -on-three basketball team.  a.) If you choose a starting…

A: a. The total number of players = 5. The number of person needed to begin the game at Hoop Fest = 3.…

Q: A mother of 8 wanted to attend a party but only 5 children can be fit in her car. In how many ways…

A:

Q: The 22 colleges of interest to a high school senior include 7 that are expensive (tuition more than…

A: Given Data: n=22 n(E)=7 n(F)=7 n(EUF)=5

Q: How many different possibilities are there for the membership of the working group?

A: Here given A hospital working group of 8, consisting of 3 doctors, 2 nurses and 3 lawyers is to be…

Q: Assume that the student has a cup with 10 writing implements: 5 pencils, 4 ball point pens, and one…

A: Assuming that the student has a cup with 10 writing implements: 5 pencils, 4 ball point pens, and…

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

A: As per the guidelines we are allowed to solve maximum of 3 subparts If you need help with another…

Q: here are 10 female board members and 20 male board members. How many ways are there to make a…

A:

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

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

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A:

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

A:

Q: If the chair of a math department has to appoint a committee of 4 professors from among the 10…

A: