3. In a sportsfest consisting of 40 males and 20 female members, if they were to pick 1 team leader, how many ways are there to choose a single team leader? If there were 2 team leaders are to be chosen, how many male & female pairs are possible 4. 5. If there were 2 team leaders are to be chosen again but this time there should be always 1 male team leader, how many mixed pairs are possible?

Q: 1. Find the number of ways that 7 lecturers in the CIE review be assigned to 3 classes if no…

A:

Q: 9. A math club has 50 members, 28 female and 22 male members. a) If a committee of 5 is to be…

A: Solution

Q: 3. A group of 20 people consisting of 6 women and 14 men will give a tea invitation. For the…

A:

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

A: Permutations and combinations

Q: 3. In a sportsfest consisting of 40 males and 20 female members, if they were to pick 1 team leader,…

A: The number of ways r items can be selected out of n items is defined using the formula, C(n,r) . The…

Q: Eleven players have gathered to play 5-on-5 basketball. (a) If they have decided that one of the…

A: a) From a group of 11 players, we can pick a 5 player team in 11C5 ways.  When 5 players have been…

Q: A committee of 4 students is to be made. There are 5 boys and 5 girls available for selection. In…

A:

Q: How manly liked apples only? How many liked bananas only? How many liked cantaloupes only? How…

A: HERE from given information  define events A = students like apple B = student like banana C=…

Q: 3. A committee of 7 people is to be chosen from a group consisting of 7 men and 9 women. If the…

A:

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: A group of 10 friends went on a tour in Netherland. For their Amsterdam tour, each of them had to…

A: There are 10 friends and 4 places to visit. Also, each place has to be visited by at least one of…

Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

A:

Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

A: Committee selections , using permutations and combinations

Q: club with eighteen members is to choose three​ officers: ​ president, vice-president, and​…

A: Topic:- permutation and combinations

Q: A 8 person committee consist of 5 women, including Margaret, and 3 men, including Anthony. If a…

A: a) Given that there are 5 women and 3 men.  We can pick 1 man in 3C1 ways and 2 women in 5C2 ways So…

Q: A club with nineteen members is to choose three​ officers: ​ president, vice-president, and​…

A: Permutation:   It is nothing but  an arrangement of objects with the definite order.   Let n is the…

Q: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: 10 - In a group of 30 people, 15 run, 13 swim, 13 cycle, 5 run and swim, 8 cycle and swim, 9 run and…

A: given in a group of 30 people , 15 run , 13 swim , 13 cycle , 5 run and swim , 8 cycle and swim , 9…

Q: 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:

Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

Q: group of 9 grade 11’s and 13 grade 12’s apply to go to a student conference in Vancouver, but there…

A:

Q: ee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores,…

A: The selection of elements without arrangement can be represented by a combination of elements. We…

Q: 4. The janitor wants to prevent insect invasion in a building with 15 floors. Since insect killing…

A:

Q: 1. In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4…

A:

Q: Suppose 12% of students chose to study French their freshman year, and that meant there were 21 such…

A: Given: Suppose 12% of students chose to study French their freshman year and  that meant there were…

Q: A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to…

A: a) There are total 17 members  We can pick 9 from 17 members in 17C9=24310 ways  Answer(a): 24310

Q: 22 The parent-teacher's association committee of a school consisting of 6 members is to be formed…

A: We have to apply the concept of combinations to find the number ways in each cases.

Q: a. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? b.…

A:

Q: In a conference, 3 Thai, 4 Japanese, and 2 Filipinos found themselves grouped together in a…

A:

Q: 2. A footbal! team of 11 players is to be selected from short list of 16 players. Find the number of…

A: Given: Number of players = 16 Number of players selected = 11

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: 2. A carton of 12 rechargeable batteries contains one that is defective. In how many ways can an…

A:

Q: In a year 10 Maths class, there are 30 students. Each student is either 15 or 16 years old, and…

A: The probability is the chance of occurrence of an event, the probability of event A is calculated by…

Q: .) there are no restrictions b.) one particular person must be chosen on the committee? c.) one…

A: A committee of 5 people is to be chosen from a group of 6 men and 4 women total persons are 10  here…

Q: SCUBA club consists of 9 divers with advanced certification and 6 with just a basic certification.…

A: given that Advance certificate=9 Basic certificate=6

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: A new vaccine is being tested on a group of 4000 people by giving 2500 people the vaccine and the…

A: there are total of 4000 people. Out of which 2500 are to be given a vaccine. (a) out of 4000 people…

Q: 4. A three-member panel of judges are to be chosen from 5 men and 3 women. In how many ways can this…

A:

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: 2. A basketball team of 12 players must be chosen from 18 players. In how many ways can this be done…

A:

Q: A psychology lab doing research in dreams has 4 rooms (1,2,3, and 4), each containing 2 beds (A and…

A: Given: There are 3 rooms with 2 beds each. 3 pairs of twins are to be assigned to these 6 beds so…

Q: 4 Suppose that a goup of 150 students have joined at least one of the chat rooms: one on auto…

A:

Q: In how many ways can a selection of 3 men and 2 women can be made from a group of 5 men and 5 women…

A: First find in how many ways can women and men be chosen.

Q: company’s CEO has 8 people reporting directly to her, and she wants to select 2 to attend the grand…

A:

Q: A computer programming team has 15 members consisting of eight robots and seven humans. A committee…

A: Formula:  Combination: The number of ways to choose r objects from a set of n different objects is…

Q: A computer programming team has 17 members. Suppose nine team members are women and eight are men.…

A: 1] There are 17 members in the team 2] Out of which 9 team members are women and 8 are men

Q: If they decide to purposely choose 2 of the 22 available dogs rather than randomly choosing any 2,…

A: Formula used: Crn=n!r!n-r!n!=n×n-1×n-2×.…2×1 Here given n=22 and r=2.

Q: A group of 3 people is selected out of a larger group of 20 people. 1 (a) How many possible ways can…

A: Solution: 4. From the given information, 3 people selected from 20 people.

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.