1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no two donuts of the same variety? b) if all donuts are of the same variety?

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: 1: A number of ways in which four people can be chosen from among 12 people, taking into account the…

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: In how many distinct ways can the letters of the word MEDDLE be arranged?

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: In how many ways can a 4-member studernt council consisting of a president, a vice president, a…

A: given that there are 9 students out of which we have to make a 4-members committee for students…

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: 1. In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads be arranged in a…

A: Ans#1- In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads…

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: In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

A: There are 7 available parking spaces and 5 bicycles.

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: How many ways may 5 students be elected from a club with 45 members?

A: Total number of students = 45 Number of students to be selected = 5

Q: In how manyways can 7 honorable people be seated in a round table?

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

A:

Q: (a) How many different committees of size 3 can be formed from 14 people? (b) From the 13 albums…

A: a) Given, No of people(n)=14 size(r)=3   How many different committees can be formed.

Q: 1. In how many ways can a committee of three be formed from a group of 10 members?

A: 1. Answer: In 120 ways can a committee of three be formed from a group of 10 members.

Q: In how many ways can 12 different books be distributed among four chi dren so that (a) each child…

A: Given: Number of books = 12 Number of children = 4

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

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

A: Note: As per bartleby guidelines for more than one questions asked, only one question with three…

Q: 4. In how many ways can eight beads be arranged in a bracelet?

A: We have to find number of ways...

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: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

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: 3. If ice cream is served in a cone, in how many ways can Abby choose her three-flavored ice cream…

A:

Q: In how many ways is it possible to elect a president, a vice-president, and a secretary (in that…

A: The total number of members in the club is: n=20 From the given club a president, a vice-president,,…

Q: How many ways are there to arrange the letters m, n, o, p, and q such that neither m nor n is…

A: There are 5 letters in m, n, o, p, and q. We can arrange them in 5!= 120 ways   If m is followed…

Q: 3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: In how many different ways can six books be arranged on a shelf?

A:

Q: A survey of 108 persons was conducted at TCC, and it was found that 61 persons carried a cell phone,…

A: Tota number of persons = 108 Number of persons carried  a cell phone n(A) = 61 Number of persons…

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: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no…

A:

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: In how many ways can four aces be drawn from a deck of cards? (Order is not important.) | way(s)

A:

Q: 1. How many strings of three lowercase English letters contain at least one vowel?

A: Given: How many strings of three lowercase English letters contains at least one vowel

Q: 1. In how many ways may 4 people be seated in a row of 10 chairs? 2. In how many ways can a point…

A: HERE use permutation and combination

Q: 9. A committee of senior and junior executives will be formed to decide on recruitment issues. If…

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

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

A: Note: As per the guidelines, we are only allowed to solve 1 question at a time, please post the…

Q: In how many ways can nine students be partitioned into three teams containing four, three, and two…

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: In how many different ways can five books be selected from a twelve-volume set of books?

A: Total books are 12.

Q: 5. In how many ways can 7 boys be seated in a circular order?

A:

Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: 1. In how many ways can students in a college be classified according to year (1st to 4th) if there…

A: Given that 1. students in a college can be classified according to year (1st to 4th) if there are 10…

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: In how many ways can a group of eight persons arrange themselves around the circular table?

A:

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: in how many ways could 17 people be divided into five groups containing respectively 1 2 5 6 and 3…

A: The total number of people is 17.

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.

Q: In how many ways can first, second, and third prizes be awarded in a contest with 880 contestants?…

A: The number of ways to select r objects out of n distinct objects is estimated using the rule of…