A major league baseball team has 40 players of which 25 are considered active. a.) How many ways are there for a manager to select 25 active players for the roster? 10.) b.) How many ways can a manager select a 9-player batting lineup from the active roster for opening day?

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: 4. How many committees of 4 men can be formed from a group of 10 Hiet

A: GivenNo. of men in a group=10

Q: How many six-person volleyball teams be made from a group of six men and three women if: a. If two…

A:

Q: 1.) How many ways may 4 cards be drawn randomly from a deck of 52 cards? 2.) How many ways may 5…

A: Solution-: We find, (1) How many ways may 4 cards be drawn randomly from a deck of 52 cards? (2) How…

Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In…

A:

Q: A student is given a reading list of ten books from which he must select four an outside reading…

A: The total number of books in the reading list is 10. The student has to select 4 books out of 10…

Q: 2. In how many ways can a MathSci Committee of five be formed from seven Math lovers and five…

A: See the detailed solution below.

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 survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

Q: At the horse races (with ten horses competing), in how many ways can the top three places be…

A: Permutation: The number of different arrangements of ‘r’ elements from a set of‘n’ elements is…

Q: The legislature of Puerto rico consits of a 27 member senate and a 51 member house of…

A: Given:(a)There are 27+51=78 members of the legislature.Now, we have find the number of ways to…

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

A:

Q: A survey of 310 adults found that during the last year, 90 traveled by plane but not by train, 75…

A:

Q: In a survey of 4584 people, 3290 had a car, 2222 had a pet, 3540 had a television set, 3047 had a tv…

A:

Q: A survey of 93 persons was conducted at TCC, and it was found that 53 persons carried a cell phone,…

A: Given, 1. people carried a cell phone or a tablet is

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: How many arrangements are there if 8 playing cards are drawn from a deck of 52 cards?

A: If 8 cards are to be drawn from 52 cards, then n=52 and r=8.

Q: assume that you have a committee of 8 members, and that you must choose a chairperson, and…

A: Given data: Assume that you have a committee of 8 members, and that you must choose a chairperson,…

Q: (a) In how many ways could you arrange eight books on a shelf? (b) Would it be feasible to list the…

A: We have to find corrcet answer...

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

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: How many ways are there to select a first-prize winner, a second-prize winner, and a third-prize…

A: We have to select a first-prize winner, a second -prize winner and a third-prize winner form 50…

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) How many three-digit phone prefixes that are used to represent a particular geographic area…

A: HERE USE COMBINATION FOR FINDING POSSIBLE NO OF PREFIX WITH GIVEN CONSTRAINTS IN EACH PARTS

Q: Consider a group of N people. If everyone shakes hands with everyone else, how many handshakes take…

A: The number of people in a group is N.

Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: A survey of 1200 people in a town in DC indicates that 840 people own microwave ovens, 740 people…

A: Let A and B be the set of people in a town who own microwave ovens and DVD players, respectively.…

Q: If eight people greet each other at a meeting by shaking hands with one another, how many handshakes…

A:

Q: how many diffrent seating arrangements are possible for king arthur and his 12 knights around their…

A: The number of ways, n items can be arranged around a circular table is equal to (n-1)! . The formula…

Q: Suppose the group of twelve consists of five men and seven women. a) How many five-person teams can…

A: A group consist of fire men and sexes women. We have to make a fire person team with 3men and 2…

Q: Given the word PERINGKAT, a. How many arrangements can be made if all the letters are used? b. In…

A:

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A:

Q: How many distinct arrangements are possible using the letters of the word POSSIBILITY?

A: Important keys :  When given a number of objects and we would to find the possible different…

Q: 1. From a group of 12 teachers, how many different committees can be formed consisting four or five…

A:

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

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: A club with 23 members is to select a committee of six persons. In how many ways can this be done?

A: Given: The number of members in a club is equal to 23, To find: The number of ways of selecting a…

Q: Find the number of full houses in a poker hand, that is, the number of poker hands with three of a…

A: Let there be 4C3 =4 by choosing the 3 cards of the same typesand 4C3 =6  by choosing…

Q: From a group of 18 customers, 4 are to be chosen to receive a special gift. Assuming that the order…

A: The number of groups of 4 customers can be chosen is,

Q: In how many ways can a group of 5 students be picked from a class of 14 students to represent the…

A: There are total 14 students.  We will pick a group of 5 students from them.   Since it is a group,…

Q: ow many ways can the positions of center midfielder, striker, and center back be assigned from the…

A: In a soccer team of 10, there will be 2 strikers, 2 mid fielders and  2 center backs.

Q: (a) In how many ways could you arrange NINE books on a shelf? (b) Would it be feasible to list the…

A: The permutation is the mathematical techniques, which is used to determine the number of possible…

Q: From a group of 10 physicians, in how many ways can four people be selected to attend a conference…

A:

Q: A survey of 154 persons was conducted at TCC, and it was found that 47 persons carried a cell phone,…

A: Given, number of persons carried cell phone = 47 number of persons carried tablet computer =96…

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

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Q: a. How many of the students polled had applied to exactly two of the universities? b. How many…

A: The given data is  The sample space contains = 60 students Number of elements in Sample space = n(S)…