en people split up into five groups of two each.  In how many ways can this be done?

Q: Solve the following problem on combination. Show your complete solution. How many different ways can…

A: To solve the given problem with the help of combination :-

Q: The birthday boy, excited by the inscription on the cake, tried to wolf down the whole thing.…

A:

Q: There are 40 students in a classroom, and the desired ratio of students to computers is 3 : 1. How…

A:

Q: Index was 220.2 in 2011 and 251.7 in 2019. What would have been theequivalent price in 2011 of a car…

A: Current price = $24,375  Consumer Price Index in 2011 = 220.2 Consumer Price Index in 2019 = 251.7

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: Find the number of bags of 103 pieces of vegetables that can be made out of carrots, tomatoes,…

A: Consider the given Number of carrots in the bag=even Number of tomatoes  in the bag=multiple of 5…

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: How many ways can the letters of the word "EQUATION" be arranged if “NOTI" must b next to each other…

A: Here  use concept of arrangement

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: One canned juice drink is 20% orange juice; another is 5% orange juice.  How many liters of each…

A:

Q: Isobel found that her car was getting 23 1/2 miles for each gallon of gasoline. If she filled her…

A: Solution:-    Given:-         Isobel  found  that  her car was getting  2312mi  for         each…

Q: Jillian observed that if the sum of its digits is subtracted from a number the result is always…

A: Given data:   Check the divisibility by three and nine.   The above general expression can be proved…

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: In a group of 75 animals, dogs outnumber cats by a 3:2 ratio. How many more cats would have to join…

A:

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: You are on a farm that raises cows and chickens. If there are 20 animals total, and the animals have…

A: Number of 4 feeted(cows)animals =                                                        ( L - 2H )…

Q: In remodeling a house an architect finds that by adding the same amount to each dimensions of a 4.5…

A:

Q: A homeowner has just installed a swimming pool with a capacity of 3.5 x 104 gallons. If the pool is…

A:

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: 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: 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: The number of ways 3 nurses and 4 engineers can be seated on a bench with the nurses seated together…

A: Number of nurses = 3 Number of engineers = 4

Q: To make fruit salad, Maria bought 2 1/4 pounds of apples, and 1 1/3 pounds of peaches. How much…

A: The detailed solution is as follows below:

Q: $5,406.74.

A: Ok  I will check it again-

Q: In the ECE 2241 Exam, a student may select 7 problem solving questions from a set of 10 problems. In…

A: Solution: From the given information, a student selects 7 problem solving questions from a set of 10…

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: Mr. White drove 15 miles in July. He drove 8 times as many miles in September as he did in July. He…

A:

Q: Please show me how to do this equation

A: From the question,It has been provided that the library has 3 books and have 18 different titles,…

Q: A balance beam similar to the one shown here at the top has 2 cubes and 1 bolt in the pan on the…

A: In the first balance beam weight of 2 cubes and 1 bolt equals the weight of 38 nails. In the second…

Q: If a machine can produce 2,550 metal parts in 7 ½ hours, how many hours would it take the machine to…

A: 2550 = 7 12 hrs converting hours to minutes 7 12 hrs= 450 mins 2550 metal parts=450 mins 1 metal…

Q: Eight cubic yards of soil that is 50% sand had to be mixed with some soil that is about 10% sand to…

A: Given:8 cubic yards of soil that is 50% sand had to be mixed with some soil that is about 10% sand…

Q: A husband wants to give his wife a gift for Valentine's day. He has five chocolates, two pieces of…

A:

Q: A recipe for 4 cups of trail mix calls for 2/3 cup of raisins. Anaya has 1 1/2 cups of raisins. Does…

A: Given question is A recipe for 4 cups of trail mix calls for 2/3 cup of raisins. Anaya has 1 1/2…

Q: A small pizza at Dominos is 10 inches in diameter, whereas a medium pizza is 13 medium inches in…

A:

Q: A 12% tin alloy is to be melted with an 18% tin alloy.   How many kilograms of each tin alloy must…

A: Alloy 1 =  12 % Alloy 2  = 18% Let the quanity of alloy 1 =x  Then , quanity of allo 2 = 15 -x

Q: Steeve would like to own a stock in either EasySoft Corporation or SuperSneeze International. If…

A:

Q: A 40% antifreeze solution is to be mixed with a 70% antifreeze solution to get 240 liters of a 50%…

A: Let 'x' liters of 40% solution and 'y' liters of 70% solution are used to get required solution.…

Q: Solve the following problem on combination. Show your complete solution. How many different sets of…

A: We need to find how many different sets of 5 cards each can be formed from a standard deck of 52…

Q: Gordon is twice as old as Tony when Gordon was as old as Tony is now. The combined age of Gordon and…

A:

Q: given a starting population of 100 bacteria, the formula b=100(2)^t can be used to find the number…

A:

Q: square chessboard, how many rectangles are formed with these squares and how many of their area is…

A: In 8*80 square dashboard we want to find the rectangles formed and how many of their area is even…

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: A new venue just opened in downtown Canton, and they are in the process of deciding how many people…

A:

Q: 1. The average of 3 numbers is 60. If two of the numbers are 50 and 60, what is the third number?

A: Given,The average of 3 numbers=60first and scond number is 50 , 60

Q: Ten years ago, the population of Northern Cascadia was 20% smaller than the population that of…

A:

Q: Two multipedes were dancind together at a party,and trying hard not to trip over each other's feet!…

A: Let one multipled has x legs and another has y legs. So from the first conversation we get, x+2=y-2…