Twenty batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and 9-volt. a. How many ways can we choose the twenty batteries? b. How many ways can we choose the twenty batteries but be sure that at least four batteries that are are 9-volt batteries? c. How many ways can we choose the twenty batteries but have no more than two batteries that are 9-volt batteries?

Q: At the restaurant i 28 E n, they have 6 appetizer and 22 entree options. How many unique 2-course…

A: Total appetizer = 6 Total Entree = 22 We have to choose one appetizer and one entree for a 2-course…

Q: In a wooded area was 50 woodlice were captured. These were marked and released. The next day a total…

A: Given: In a wooded area was 50 woodlice were captured The next day a total of 75 woodlice were…

Q: As a manager in a company, your department was assigned 3 projects to work on. In your department,…

A: It is given that there are 9 engineers and 3 projects to work.

Q: A professor has 180 students in her classes at the beginning of the semester, but 18 students…

A: At the beginning of the semester the professor has 180 students in her classes. But 18 students…

Q: d. To make 6 cups of trail mix, you need 2 cups of almonds, 3 cups of raisins, and 1 cup of…

A: The objective of this question is to find out how much of each ingredient is needed to make 18 cups…

Q: 3.) A chef cooks 2 of a pound of pasta. She plans to serve - of a pound to each customer. How 12…

A:

Q: There are 60 beads in a box. 3/10 of them are green, 1/6 of them are blue and 2/15 of them are red.…

A:

Q: Solve the problem. There are 8 members on a board of directors. If they must form a subcommittee of…

A: Given There are 8 members on board of directors  Subcommittee of 3 members

Q: Find X 2 10 1. 5. Select one: a. X = 3, Y = 4 b. X = 3/2, Y = -4 C. X = 3, Y = -4 d. X -3, Y = -4

A:

Q: A client is instructed to drink 3 quarts of water each day. The glass that the client uses contains…

A:

Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

A: The objective is to find the order of 3,4 in Z4×Z10 First find the order of 3 in Z4, then find the…

Q: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

Q: Wan has 22 bulbs of the same shape and size in a box. The colors of and amounts of the bulbs are…

A:

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: For this problem, assume that 13 exhibits entered the science fair, and that we want to assign 3…

A: The number of exhibits entered the science fair is 13. The number of prizes that are to be assigned…

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: 2 Heather has a bag of 15 red, 11 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. How many…

A: There are total (15+11+9+12+6+11)=64 markers.  Among them 15 are red. So the probability of picking…

Q: One-ha!f of the class wore red and one-third of it wore biue. What part of the class wore either red…

A: let the total number of students in a class be x  Therefore the part of class who wore red is 12x…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.