A certain lottery requires players to select 6 different​ numbers, in any​ order, from 1 to 58 inclusive. How many different sets of 6 numbers can be​ chosen?

Q: To win at LOTTO in one state one must correctly select 6 numbers from a collection of 11 (1 through…

A: The winning combination of LOTTO has 6 numbers.

Q: In how many ways can first, second, and third prizes be awarded in a contest with 365 contestants

A:

Q: A restaurant offers a $12 dinner special that has 4 choices for an appetizer, 13 choices for an…

A: It is given that the  A restaurant offers 4 choices for an appetizer, 13 choices for an entree, and…

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: 2. How many ways can 10 books be arranged in a shelf if one of them is a bible and it must be placed…

A: Given that, 2.  10 books be arranged in a shelf & one of them is a bible and it must be placed…

Q: 5 numbers are to be chosen from {0,1,2,3,4,5,6,7,8,9}. Answer the following questions: 1. How many…

A: Five numbers can be chosen from the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Q: A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 13 choices for an…

A: Given: Number of choices for an appetizer =6 Number of choices for an entire =  13 Number of choices…

Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

A: Given Data: The number of different pastries in the display is: n=12 The number of choices is…

Q: A sales representative must visit nine cities. There are direct air connections between each of the…

A: We have to find correct answer for given data..

Q: A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 11 choices for an…

A: No.of choices for an appetizer = 6 No.of choices for a entrée = 11 No.of choices for a dessert = 4…

Q: A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 11 choices for an…

A:

Q: How many ways can award a 1st,2nd, and 3rd place price among eighteen contestants gold/silver/bronze

A:

Q: A pizza place has pizzas in 2 different sizes, with 6 different flavors for the crust, and 10…

A:

Q: In how many ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: In a contest where 7 contestants are entered, in how many ways can the distinct prizes be awarded

A: Ans- Given,In a contest where 7 contestants are entered, In how many ways can the distinct prizes be…

Q: A certain lottery requires players to select 6 different numbers, in any order, from 1 to 46…

A: A certain lottery requires players to select 6 different numbers in any order from  1 to 46…

Q: In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to…

A: We have given that,  In how many ways can 8 person be seated around a table with 8 chairs if two…

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: Seven Olympic sprinters are eligible to compete in the 4 x 100 m relay race for the USA Olympic…

A: The permutation of size r with n possibilities is calculated as follows,…

Q: On the first day of the Minnesota state fair 1 person enters through the gate in the first minute,2…

A: To find: The number of people enters through the gate in seventh minute. Given: The number of people…

Q: A restaurant offers a $12 dinner special that has 7 choices for an appetizer, 13 choices for an…

A: Given values, Appetizers = 7Entree = 13Dessert = 3

Q: .A lottery works by picking 6 numbers from 1 to 49.  How many combinations of 6 numbers could  you…

A:

Q: In how many ways can 3 students seated in a circular or round table

A: From the given information, Number of students =3

Q: elected fr

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Q: To win at LOTTO in one​ state, one must correctly select 6 numbers from a collection of 45 numbers​…

A:

Q: There are 10 different software packages from which to select. How many different groups of software…

A: Given: n=10 r = 3 The number of different groups of software packages that can be selected can be…

Q: A restaurant offers a $12 dinner special that has 4 choices for an appetizer, 11 choices for an…

A: Given data,No of choices for an appetizer=4No of choices for an entree=11No of choices for an…

Q: To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 59 numbers (1…

A: From the provided information, Total numbers are from 1 to 59. To win at Lotto in one state one need…

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

A: Permutations problem

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

A:

Q: In how many ways can 8 different pizza toppings be chosen from 14 available toppings? There are ways…

A:

Q: 9 If you know the names of all the remaining eight students in the spelling bee what is the…

A: We have to find given probability..

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: 8. In a beauty contest, there are 12 semi-finalist from which 5 winners will be chosen. How many…

A: Here we have to choose 5 winner among 12 semi finalists as shown below

Q: 8. How many different ways can a theatre group select 2 musicals and 3 dramas from 11 musicals and 8…

A: If we have a set of possibilities or universal set and we try to find the sets in favor, we may be…

Q: To win at LOTTO in one​ state, one must correctly select 7 numbers from a collection of 45 numbers​…

A: Given, Total collection of numbers = 45 numbers​ and, The order in which the selection is made does…

Q: na student organization, there are 18 freshmen, 14 sophomores, 15 juniors and 22 seniors. 1. How…

A:

Q: 6 students are selected from a group of 13 students for prizes. How many different selected if they…

A: Given  Total students =13 Number of students to be selected from the group =6

Q: 38) To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55…

A: We have to find the number of selections possible.

Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

A:

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

A:

Q: How many ways can we choose 8 people out of 30 to be send to a conference

A: Here order doesn't matter so we need to use combination formula

Q: n a drama class, 5 students are to be selected from 24 to perform a synchronized dance. In how many…

A:

Q: A pizza place has pizzas in 2 different sizes, with 7 different flavors for the crust, and 13…

A:

Q: How many different arrangements of 4 letters can be formed if the first letter must be W or K…

A: Total no.of letters(A to Z)=26

Q: 9 athletes are to take part in a race. In how many ways can the first 5 places be filled?

A: Given: 9 athletes are to take part in a race To find the number of ways the first 5 places are…

Q: In how many ways can 16 different pizza toppings be chosen from 20 available toppings? There are…

A:

Q: How many different ways a president and a vice president  can be selected from a group of 20…

A: Combination is a method in mathematics that is used to calculate the number of way certain objects…

Q: To win at LOTTO in one​ state, one must correctly select 7 numbers from a collection of 49 numbers​…

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.