In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people, if exactly one of the bride and the groom is in the picture?

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: 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: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. How many ways…

A: From the provided information, Total distinct colors = 18 Number of colors to be chosen = 4 If the…

Q: How many different ways are there to select a group of 3 out of 5 people for a cyber-sport team with…

A: From the given information,We have to find How many different ways are there to select a group of 3…

Q: Suppose there are 120 students in a veterinary school. There are 49 students that have a dog, 56…

A:

Q: Suppose we want to choose  3  colors, without replacement, from the  4  colors red, blue, green, and…

A: It is given that there 4 colors red,blue,green and purple.  and we need  to choose 3 colors without…

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

A:

Q: A camp counselor and four campers are to be seated along a picnic bench. In how many ways can this…

A: The objective of this question is to find the number of ways the camp counselor and four campers can…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: A man has 5 children. Each of those children has 3 children, who in turn each have 2 children .…

A: The objective of this question is to calculate the total number of descendants that the man has.…

Q: Suppose you have 13 juniors and 11 seniors. How many different draws of 10 names would contain…

A:

Q: There are 12 players on a basketball team. A starting line up consists of a selec ive players to…

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 we want to choose 6 colors without replacement from 9 distinct colors

A:

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: A class contains eight boys and eight girls. In how many ways can they stand in a line if they must…

A: Given, A class contains eight boys and eight girls.

Q: suppose that we wish to seat 10 people, 5 men and 5 women, in a row of ten chairs. in how many ways…

A:

Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish…

A: Given information- We have given that 5 horses are in a race. They all finish the race with no ties.…

Q: In a certain company 80 of the employees are men. What is the total number of employees if 5 out of…

A: given In a certain company 80 of the employees are men. To Determine the total number of employees…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.