Rachel would like to change her profile picture in her facebook account. She looks at her currently uploaded photos, and finds 6 photos in one folder and 12 more photos in a second folder as possible profile pictures. If she wishes to change her profile picture every day, how many days can she go without repeating a picture

Q: Ivy Creek has 1,328 students. If all of the students at Ivy Creek are going to go on a field trip…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Ethan owns 8 pairs of pants, 4 shirts, 4 ties, and 3 jackets. How many different outfits can he wear…

A: The above example is an example of a combination. we have to find different combinations of outfits.

Q: the state department of transportation decides to change the plates to have three letters followed…

A: Given query is to find how many plates are possible if three latters followed by two digits.

Q: From 4 boys and 8 girls, the number of ways can 6 be chosen, (i) to include only one boy. (ii) to…

A: 12 children, in which 4 boys and 8 girls and we want to chose 6 children

Q: student needs 6 more classes to graduate. If she has met the prerequisites for all the classes, how…

A: Given n=6 r=3

Q: You bought 3 boxes of regular pizza, which are sliced into 8 pieces each, for your basketball team.…

A:

Q: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

A: The number of seats in the first row =20 Since each successive row contains two more seats than the…

Q: When you start your new job, you will be assigned an Employee Identification Number. If this number…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: A boy owns 7 pairs of pants, 6 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: We  use rule of multiplication, to find the solution

Q: In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two…

A:

Q: The Rosedale Thunders hockey team has 6 players who can play goalie and 8 (different) players who…

A:

Q: There are 364 students who are enrolled in an introductory biology course. If there are five boys to…

A:

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: 3 of his stickers 10 Rudi, Sam and Ted had 162 stickers altogether. Rudi gave of his stickers to…

A: Given Information - Total number of stickers Rudi, Sam and Ted had = 162 Rudi gave 310 stickers to…

Q: Svetlana flipped a coin 24 times, and got heads more than twelve times as often as tails.  How many…

A: Given Data: The number of times a coin is flipped is: N=24 Let, The number of times got head is H…

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

A:

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

A:

Q: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

Q: A boy owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets. How many different outfits can he wear…

A: Given a boys owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets Boys can wear one of each items…

Q: A boy owns 6 pairs of pants, 7 shirts, 3 ties, and 1 jackets. How many different outfits can he wear…

A: He can choose a pant in 6 ways.  He can choose a shirt in 7 ways He can choose a tie in 3 ways He…

Q: While three watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way…

A:

Q: The public library has volunteers shelve books after they have been returned. When Lisa arrives to…

A: We are given that there are 5 non-fiction books for every 9 fiction books. Now, we are asked the…

Q: A pianist plans to play 4 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Factorial of a number:   It is a non-negative integer n which is defined by the product of all…

Q: A boy owns 5 pairs of pants, 3 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: There are 5 pairs of pants 3 shirts 2 ties 2 jackets The boy must wear one of each item.

Q: Within the first 4 months of the year, Vicky was able to serve the following number of burgers: 370,…

A:

Q: m had either one or two previous arrests. Including yesterday’s arrests, there were 18 total arrests…

A: There are 7 suspects who were arrested. All of whom had either one or two previous arrests. Let x…

Q: A college team plays 10 football games during a sea-son. In how many ways can it end the season with…

A:

Q: A medical student has to work in a hospital for five days in January.  However, he is not allowed to…

A: there are 31 days in January Out of 31 days , student has to work 5 days therefore the non working…

Q: Ms. Karen has 7 children in her preschool class. She would like to give each student an equal number…

A: Solution is given below:

Q: A boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different outfits can he wear…

A: Solution

Q: A teacher decided to buy breakfast for her students while welcoming them during the first day of…

A: Inclusion exclusion principle Let A, B be two events then the number of ways to get either A or B'…

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: 26th most disliked video on YouTube.  If 1% of the people who disliked the video are male former…

A:

Q: A university student is selecting courses for his next semester. He can choose from 5  science…

A: Given,no.of science courses=5no.of humanities courses=10Total no.of courses=15

Q: Julian owns 5 pairs of pants, 2 shirts, 2 ties, and 8 jackets. How many different outfits can he…

A: Given that he must wear one of each items so first we have to find the number of ways of wearing…

Q: This year, The Springtown Times had 7,152 subscribers. That is 20% more than they had last year,…

A:

Q: When you get to college you will be assigned a new Student Identification Number. If this number is…

A: Given, Student Identification Number has number is 9 digits long followed by 2 letters . We have to…

Q: A college plays 12 football games during a season. In how many ways can the team end the season with…

A:

Q: The Science Club has 20 male and 18 female members. How many different ways can one male and one…

A:

Q: A girl has 64/34 apples and another boy has 64/38. Which one has more apple

A:

Q: Juan owns 4 pairs of pants, 6 shirts, 1 ties, and 3 jackets. How many different outfits can he wear…

A:

Q: A philanthropist, on his free day, seeks to visit an orphanage from the seven orphanages he supports…

A: Given information No of orphanages = 7 No of elementary school = 10 No of care homes = 8

Q: Jaden has two sisters. One of them is 3 years younger than Jaden, and the other one is 7 years…

A: Given that: One sister is 3 years younger than Jaden and Other is 7 years younger than her only…

Q: A boy owns 1 pairs of pants, 2 shirts, 8 ties, and 6 jackets. How many different outfits can he wear…

A: Given that Number of pairs of pants a boy owns=1 Number of shirts=2 Number of ties=8 Number of…

Q: If Jun has 12 T-shirts, 6 pairs of pants, and 4 pairs of shoes, how many possibilities can he dress…

A: Jun has 12 T - shirts , 6 pairs of pants and 4 pairs of shoes. We know that combination corresponds…

Q: Dominique has 4 shirts for every 3 pairs of jeans that she owns. If she owns 21 pairs of jeans, then…

A:

Q: Charlie has 4 pairs of shoes, 12 shirts, 5 pairs of pants, and 3 watches. How many days could he go…

A: Given ,  Charlie has 4 pairs of shoes, 12 shirts, 5 pairs of pants, and 3 watches. We have to find…

Q: Nathaniel was given a large box of 24 chocolates for his birthday. If he eats exactly 2 chocolates…

A:

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.