Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how many ways can a person arrange to go on a sightseeing tour planned by this convention?

Q: Use the Pigeonhole Principle for the following problems: da) Lemurs are being assigned to 8…

A: Pigeonhole principle states that if m pigeonholes are occupied by m + 1 pigeons, then at least one…

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: What does Chebyshev’s theorem with k=12 tells us about the number of heads that we may get in 900…

A: Given K=12

Q: 3. A group of seven people consists of four women and three men. From this group, four people will…

A:

Q: d) The number of inspection teams of two mechanics and three supervisors chosen from seven mechanics…

A: 2. d) The provided information is as follows:The total number of the mechanism is 7.The total number…

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow 1, 1 black ball and 1 green…

A: Given :  jack has 1red ,1 blue,1 orange,1 yellow,1 black and 1 green ball then no of arrangement to…

Q: You get to choose a 6 digit PIN for your new account. A restriction on the PIN is that no more than…

A: First, let's count total number of possible 6 digit codes. We can use numbers from 0-9 are 6 places.…

Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

A: Given, Janice jogs every 4 days and Jennifer jogs every 3 days. Today is a Tuesday and Janice and…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: The given problem is a LP problem. Let, X represent busses and Y represent vans.

Q: A classmate was assigned the task of calculating the number of ten letter words that have a minimum…

A: The ten letter word has minimum of 3, A Given that  first choose three different spots for each that…

Q: To help plan for next year, the grad committee polled 91 grade 11 students about their intentions…

A: We have to find number of students that said they would attend all three events using given data.

Q: A parent downloads an app that allows him to monitor the amount of screen time his child is using on…

A: Introduction :-  Given :-  A parent downloads an app that allows him to monitor the amount of screen…

Q: Some of my cousins and I spent a week helping Grandma Rosie clean out her attic. We found a bunch of…

A: Total number of marbles = 3672  Let the number of grand-children be xNumber of marbles equally…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7…

A: Given information 8 locations 7 deliveries needed 7 deliveries among 8 location is to be made It is…

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

A:

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Combination:Combination is defined as the selection of all or part of a set of objects, without…

Q: 6. Suppose you have 105 blocks. You want to stack up all the blocks so that each row has one less…

A:

Q: How many different area codes were possible under these old rules?

A: For Finding the Number of Area Codes USA Today reporter Paul Wiseman described the old rules for the…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 3…

A:

Q: salesperson is scheduling 5 meetings in one day. In how many different ways can the salesperson…

A:

Q: Your local Baskin Robbins has 32 flavors of ice cream. You eat an ice cream cup every day for a…

A: Since, you have asked questions with multiple sub parts, as per company guidelines we will solve the…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 6 locations…

A: Since the order of these 6 chosen locations will matter, hence the total number of routes can be…

Q: The mean SAT score in mathematics 547. The standard deviation of these scores is 26. A special…

A: a) Suppose μ is the population mean SAT scores for graduates.

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.