Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40 orange, 70 lemon, 30 watermelon, 20 vanilla, 10 peppermint and 40 pineapple. Assuming that the pieces of each flavor are identical. How many different ways can seven candies be chosen?

Q: There are 17 students in a class, and 5 of them will be chosen to go on a field trip. How many ways…

A: The objective of this question is to find out the number of ways in which 5 students can be chosen…

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: A box contains 9 red, 8 blue, and 13 green balls of the same size. How many balls, do we need to…

A:

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: A car can comfortably hold a family of five. If two people among the five can drive, how many…

A: To find: The number of different seating arrangements. Given: The total number of family member in a…

Q: How many ways are there to distribute 9 cookies to 4 children.

A: Solution:

Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…

A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: a) there is no restriction on their profession. b) there should be same number of doctor and nurses…

A:

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: Suppose that a cookies shop has four varieties of flavour of cookies. How many different ways can 8…

A: Given: A cookie shop has four varieties of the flavour of cookies. Number of choices to select one…

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

Q: A School's working day is divided into six periods. How many different ways may five subjects be…

A: From the provided information,   5 subjects can be arranged in a 6 periods in P56 ways. Any of 5…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: A class has 10 students. How many ways can the class be grouped into 2 groups of equal size.

A:

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: A coffee shop offers five different flavors of coffee and three flavors of doughnuts. How many…

A:

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

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

A:

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: How many different selections of three books can be made from a set of fifteen books?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

Q: how many teams can be made if they must all be boys?

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.