Mrs. Smith has a bank of 40 questions to use for the Foundations of Algebra exam. How many different final exams of 35 problems can she form (assuming the order of the questions does not matter)?

Q: Joanie wants to mail a package that requires ​$1.23 in postage. If she has only 5​-cent and 7​-cent…

A: Given that, we have two types of stamps, one is of 5 cents and another is of 7 cents.The total…

Q: onnie is packing for a trip, she has 18 pairs of shoes. If she has room to pack 5 pairs, how many…

A:

Q: 50-liter wine reserves from 12% to 7% by removing a part and replacing it with wine of 4% alcohol

A: Wine = 50 Liters Current alcohol content = 12%

Q: A few years ago, a country consumed 19,300,000 barrels of oil per day. That same year, there were…

A: Given: Barrels of oil consumed by country per day approximately is 19,000,000 Number of households…

Q: Einar is planning a vacation trip from his native Iceland, and wants to understand the prices in…

A: Einar is a native of Iceland and hence he has the currency of Icelandic Krona (simply called Krona).…

Q: The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the other number is…

A:

Q: In the cafeteria, there is one large 10-seat table and many smaller 4-seat tables. There are enough…

A: Given data: The number of 10 seater table is 1. The number of 4 seater table is x. The total numbers…

Q: In a basketball arena, all four sides are filled with people. If each side of the arena is 25 ft. x…

A:

Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters T,…

A: Given: An eyewitness to a crime said that the license plate of the getaway car began with the…

Q: A metallurgist has one alloy containing 26% aluminum and another containing 60% aluminum. How many…

A: Given: A metallurgist has one alloy containing 26% aluminum. and another containing 60% aluminum.…

Q: Breanna had a basket of apples. She decided to give away ½ of her apples plus 1 to her father, ½ of…

A:

Q: or the gummy rings in a jar were orange and the rest were yellow. Raine packed the yellow gummy…

A: Given that,34 of the gummy rings in a jar were orange and the rest were yellow.Raine packed the…

Q: How many times greater is the value of the 3 in 230,716 than the value of the 3 in 23,716?

A: The given numbers are 230,716 and 23,716.   Identify the place of 3 in both the numbers:   It is…

Q: rubbing alcohol is typically diluted with water to 70% strength. If you need 3.5 oz of 45% rubbing…

A: Let x=amount of 70% rubbing alcohol needed Then 3.5-x=amount of water needed Now we know that the…

Q: If the projected salary expenses is $600,000,000 and the number of employees is 4000, how many more…

A:

Q: Mike needs 8 more classes to complete his degree. If he met the prerequisites of all the courses,…

A:

Q: Solve by the method of your choice: How many different ways can a director select from 20 male…

A: How many different ways can a director select from 20 male actors and cast the roles of Mark, Roger,…

Q: In​ Marissa's calculus​ course, attendance counts for 15​% of the​ grade, quizzes count for 15​%…

A: Reviewing information, w=(15%, 15%, 50%, 20%)=(0.15, 0.15, 0.50, 0.20) X=(100%, 89%, 86%, 81%)=(1,…

Q: Lou and Jacob each sold 200 pieces of jewelry.  If 20% of Lou's sales were rings, and Jacob sold 35…

A: Given lou and jacob each sold 200 pieces of jewelry. 20%of lou and 35 ring of jacob.

Q: Purchasing   Earl is ordering supplies. Yellow paper costs $5.00 per ream while white paper costs…

A: Given: Cost of yellow paper = $5.00 per ream Cost of white paper  = $6.50 per ream Budget  =  $530…

Q: Leia and her friend Mitchell go to a restaurant together.  Mitchell’s order is $2.70 more than…

A:

Q: You have probably noticed that when you buy hot dogs and hot dog buns, the packages do not contain…

A: Let, We go to the store to buy Hot dogs and Hot dog buns.

Q: Solve the problem. In how many ways can Susan arrange 10 books into 4 slots on her bookshelf?

A: Here we have to calculate in how many ways Susan can arrange 10 books into 4 slots on her bookshelf.

Q: if the jones' used 1 1/2 quarts of milk for breakfast and 1 3/4 quarts of milk for dinner  each day,…

A: Given: The jones used 11/2 quarts of milk for breakfast and 13/4 quarts of milk for dinner each day.…

Q: John and Michael want to arrange the letters of the word MISSISSIPPI and PHILIPPINES respectively.…

A: Given  The letters of the word MISSISSIPPI and PHILIPPINES are arranged by John and Michael.

Q: Solve by the method of your choice:From the 20 CDs that you’ve bought during the past year,you plan…

A: We have total 20 CDs. Group of 3 CDs will be made. There is no restriction of order.

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: How many gallons of water are there is 25 gallons of a solution that is 20% vinegar, with the…

A: Solution  Given total solution is = 25 gallons  The solution is made of water and vinegar  We know…

Q: the difference Between the number of arrangements using all the letters informed and the number of…

A: Given letter is SALADS.

Q: Dimitri wants to make 17 cents using only pennies, nickels, and dimes. How many different…

A: This question can be solved using logic

Q: In how many ways can 6 volunteers be assigned to 6 booths for a charity bazaar?

A:

Q: In​ Marissa's calculus​ course, attendance counts for 20​% of the​ grade, quizzes count for 20​%…

A: We have to find out average..

Q: If five is subtracted from three times a certain number, the result is 10. Whatis the number?

A:

Q: Amber has eleven paintings and have room to display only three of them at a time on her wall. How…

A: Given that, Amber has 11 paintings and have room to display only three of them at a time on her…

Q: A person needed a new rain spout, but instead of buying one, she decided to make her own by bending…

A:

Q: Ramon is 5 feet tall while Carlo is 5 feet and 10 inches tall. If Ramon casts a shadow of 6 feet 6…

A:

Q: A biology class of 26 students has an average of 77%. A chemistry class has 23 students. what was…

A:

Q: he physician orders a 100 mg and medication is available in 25mg/5ml. The physician orders 100 mg,…

A:

Q: Rudy makes half as much as Tod while Eve makes twice as much as Tod. If the three together make…

A: Given: Rudy makes half as much as Tod while Eve makes twice as much as Tod and three together make…

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: To find: Number of elimination games.

Q: At Hartridge Fudge Shop, 20% of the fudge has caramel swirls. If the owner made 8 pounds of…

A: It is provided that 20% of the fudge has caramel swirls Let the total pounds of fudge  = x pounds

Q: You invested $5000between two accounts paying 7% and 9% annual​ interest, respectively. If the total…

A: Let x amount is invested in 7% and 5000-x amount is invested in 9%

Q: The salaries of the President and Vice-President were a total of $576,300 a year. If the President…

A: Let salaries of president is x, and salaries of vice president is y. Given total  salaries of…

Q: How would I got about figuring out the following word problem? Annie has 20 more horses than Betty,…

A: Given, Annie has 20 more horses than Betty  While Connie has 12 more horses than Annie and Betty…

Q: Suppose that a certain muffin shop has 630 ounces of dough and 750 ounces of sugar. It requires 3…

A: Total amount of Dough and Sugar:  Requirements per Sugar cookies:  Requirements per Chocolate chip…

Q: a grocer wants to mix two kinds of coffee. One kind sells for $1.50 per pound,and the other sells…

A: Let the two types kinds of coffee be x and y pounds respectively.

Q: Solve by the method of your choice: From the 20 CDs that you’ve bought during the past year, you…

A: Given data: The total number of CDs are 20. We are required to choose 3. Therefore, the number of…

Q: it costs 6.44 per $1,000 of coverage, what is the cost to insure a car worth $18,500

A: Given query is to find the insurance cost for the car.

Q: Alan has to carry 273 apples from a farm to the market. How many baskets will he need, given that…

A: Alan has to carry 273 apples from a farm to the market. How many baskets will he need, given that…

Q: The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the other number is…

A:

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.