3. In how many ways can 5 different books be arranged on a shelf if: a. there are no restrictions c. books X and Y are never together b. books X and Y must be together

Q: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are Math books, 3 are…

A: Given:- total books =10 maths books =4 Chemistry books =3 history books =2 song lyric book =1

Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of 16 so…

A: Given:       Number of nights in which no two nights have same group of 4 men…

Q: If SS between = 40, SSwithin=60,dfbetween=4, and dfwithin =30, then MS within =?

A: Solution: From the given information, SS between = 40, SS within =60, df between = 4 and df…

Q: How many ways are there to choose two subsets A and B of [n] so that A ⊆ B, and |B| is even

A: Using logic of sets and subsets we will solve the problem. Using facts we will find a solution to…

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: If set Z has 7 elements, how many subsets does it have?

A:

Q: In how many ways can six different books, four of which are math books, be arranged on a shelf if…

A:

Q: 3) In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A: Given,             A group of 5 men and 2 women be made out of a total of 7 men and 3 ways.

Q: Given S = {1,2,5,8,9}, in how many 3 digit numbers can be formed if each number cannot be used more…

A: Here given ,  There are total 5 digits are available . And from given 5 digits make 3 digit number…

Q: from a committee of 10 persons in how many ways can we choose a chairperson, a vice chairperson, and…

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: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: In how many ways can the car be ordered?

A: Given :  n1 = number of colour = 8  n2 = number of styles = 2

Q: In how many ways can the letters of the word 'RETAIL' be arranged in such a way that the vowels…

A: The objective is to find out in how many possible ways can the letters of the word 'RETAIL' be…

Q: a) If there are no two donuts of the same variety b) If there is no restriction c) If there must be…

A:

Q: 9. There are 5 different roads from City A to City B and 3 different roads from City B to City C. In…

A:

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

A:

Q: Let A=( a, e, i, o, u, ) a) How many proper subsets will A have? b) How many 3-elements subsets will…

A:

Q: exactly how many subsets does set B={1,2,3,4} have

A: The given set is

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: i. How many ways a meal-deal can be formed if Alia prefer a set that contain burger? ii. How many…

A: here from given information, main menu have 5 choices  side menu have 5 choices beverage also have 5…

Q: 2) From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible…

A:

Q: A 4-person grievance committee is to be selected out of 2 departments, A and B, with 16 and 20…

A: We have to solve

Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

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: In how many ways can a Riders Org. chapter with 30 directors choose a president, a vice president, a…

A:

Q: (a) At most 1 car are black. (b) At least 2 cars are black.

A:

Q: 8. How many 4-person committees are possible from a group of 10 people including Francis and Jojo if…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

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

A:

Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: Suppose we want to choose 5 objects, without replacement, from 18 distinct objects. a) If the order…

A: Given,Total no.of distinct objects=18

Q: In how many different ways can a panel of five on-off switches be set if no two adjacent switches…

A: Five on-off switches to be set such that no two adjacent switches can be off. Case 1 : First switch…

Q: 5. In how many ways can 5 Filipino books and 6 English books be arranged in a shelf if a. there are…

A: Permutation is used to understand the possible arrangement of data set. It is used to arrange data…

Q: 2. There are 4 different mathematics books and 5 different science books. In how many was can the…

A: Given : There are 4 different mathematics books and 5 different science books. In how many was can…

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: How many seating arrangements can be formed if by seating A,B,C,D,E in a row: If A,B,C sit together…

A: Given information: As per guidelines we will only answer the first three subparts, please repost…

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

Q: Given 9 different types. of ice cream: 4 with chocolate chip, 4 with sprinkles, and 3 with both, how…

A: solution:Given9 different type of icecreamchocolate chips=4sprinkles=4chocolate chips and sprinkles…

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: Suppose we want to choose 5 objects, without replacement, from 17 distinct objects. (a) If the order…

A: We will the number of ways in both conditions as following.

Q: formed

A: A five-member committee is to be formed from 6 class A, 5 class B, and 4 clas C students. Here total…

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) with no…

A: Since , there are a group of 4 men and 5 women. Therefore , the total number of people=n=4 men + 5…

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: i How many three-digit phone prefixes that are used to represent a particular geographic area (such…

A: here use combination and permutation

Q: 1. A license plate begins with three letters and three numbers. If the possible letters are all…

A: Given: The possible letters are vowels; that is, a, e, i, o, u. The possible digits are odd numbers;…

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: A question is given with 3 parts. The solution is given below.

Q: 1.How many different four-letter passwords can be formed from the letters A, B, C, D, E, F and G if…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A given large basket can contain 70 pieces of fruit consisting of apples, bananas, kiwifruit,…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.