There are 12 people that have entered a gaming tournament with prizes for 1st place, 2nd place, and 3rd place. How many combinations of winners can there be?

Q: A local T-shirt company has 20 slogans for the front of the shirt, 50 colors of shirts, 15 logos for…

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Q: In how many ways can 3 red cards be drawn from a standard deck of 52 cards

A: The total number of cards in a deck of cards is 52.

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: A restaurant offers a $12 dinner special that has 5 choices for an appetizer, 13 choices for an…

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Q: A shop sells roses in 3 colours (red, white, yellow) and orchids in 4 colours (white, purple, blue,…

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Q: How many ways can 5 bicycles be parked if there are 9 available parking spaces?

A: Number of ways in which 5 bicycles can be parked if there are 9 available parking spaces.

Q: How many different ways a president and a vice president  can be selected from a group of 1414…

A: Total number of candidates = 1414. No. of candidates to be selected =2. Here, while appointing…

Q: There are 5 third year and 4 fourth year students qualified to join a contest. In the group…

A: Given that there are 5 third year and 4 fourth year students qualified to join a contest. In the…

Q: A box contains 8 red balls, 8 blue balls, and 6 orange balls. In how many ways can 6 balls be chosen…

A: Given : A box contains 8 red balls, 8 blue balls, and 6 orange balls

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: 9 freshmen, 9 sophomores, 8 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Solve

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

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Q: A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the…

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Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

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

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Q: How many commities of 7 people can be formed from a pool of 30 people

A: Solution: The objective is to find how many committees of 7 people can be formed from a pool of 30…

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

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Q: In a club with 8 members, how many ways can a slate of 3 officers consisting of president,…

A:

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be…

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that…

Q: There are 50 students in a class and three of them will be in a student government, either as…

A: Total number of students = 50

Q: here are 6 contestants in a singing contest grand final. How many ways can we choose a grand…

A: Given there are 6 contestants in a singing contest grand final.

Q: Mrs. Welch and her 7 children are shopping at a local grocery store. Each of the children will be…

A: Mr Welch and her children are shopping at a local grocery store.each of the children will be allowed…

Q: How many committees of eight can be formed from 19 Republicans and 17 Democrats if at least one…

A: Given Republicans =19 Democrats =17

Q: 7 freshmen, 9 sophomores, 7 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Let the Freshmen F,  Sophomore O, Juniors J and Seniors are S F=7 O=9 J=7 S=7 Total T=F+O+J+S=30

Q: How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts

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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: 9 freshmen, 10 sophomores, 8 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Here we want to use permutation and combination techniques to find the required number of possible…

Q: How many ways can 8 persons be seated on a chair if there are only 4 chairs available

A: Permutations problem

Q: There are 6 runners in a race. In how many ways can 3 runners finish in first, second, and third to…

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Q: Elvis has 12 close friends. How many different combinations of 5 of them may be invited for dinner…

A: w heave to find no. Of combinations possible.

Q: There are 14 students in the club. How many ways can a group of more than 11 students be chosen?

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Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

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Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

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Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

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Q: 8 freshmen, 9 sophomores, 7 juniors, and 9 seniors are eligible to be on a committee. In how many…

A:

Q: There are 7 women and 6 men signed up to join a ballroom dance class. In how many ways can the…

A: Given: Number of men = 6 Number of women = 7 Number of people to join dance class = 4

Q: In a class of 15 boys and 10 girls, in how many ways may a committee made up of 3 boys and 2 girls…

A: Given:  15 boys and 10 girls.

Q: A group has 12 members. In how many ways can 4 officers consisting of president , vice-president ,…

A: Total members n=12 no of officers r=4 Total no of ways=?

Q: black hair or had a whole row to themselves (or both). Of this total, 25 had black hair and 5 were…

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Q: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

Q: 7 freshmen, 9 sophomores, 7 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Total number of freshmen = 7, Total number of sophomores = 9, Total number of juniors = 7, Total…

Q: There are 25 people in a club. In how many ways can the club elect a president, a secretary and a…

A:

Q: From a club of 16​people, in how many ways can a group of six members be selected to attend a​…

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Q: How many ways can Rudy choose 4 pizza toppings from a menu of 13 toppings if each topping can only…

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Q: In how many ways can a committee of 3 be chosen from 7 people

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Q: There are 12 people that have entered a gaming tournament with prizes for 1st place, and place, and…

A: Given that there are total 12 people. We will pick 3 different positions. since the order matters,…

Q: How many different ways a president and a vice president  can be selected from a group of 14…

A: To find the number of different ways in which a president and a vice president can be selected from…

Q: There are 12 seniors and 8 juniors in the Mercy College Chess Club. In how many ways can a team…

A: From the given information,   There are 12 seniors and 8 juniors in the Mercy College Chess Club.…

Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

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.