1.Find the value of the factorial. 3​!   2.Find the value of the factorial. 10​!   3. Find the value of the permutation. 8P1   4.Find the value of the permutation. 8P0   5.Find the value of the combination. 5C0   6.A woman has two skirts and ten blouses.Assuming that they all​ match, how many different skirt​-and-blouse combinations can she ​wear?   7.Four members from a 57​-person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and treasurer. The first person selected is the​ chairperson; the​ second, the​ vice-chairperson; the​ third, the​ secretary; and the​ fourth, the treasurer. How many different leadership structures are​ possible?   8.How many different simple random samples of size 5 can be obtained from a population whose size is 44​?   9.Suppose a shipment of 150 electronic components contains 3 defective components. To determine whether the shipment should be​ accepted, a​ quality-control engineer randomly selects 3 of the components and tests them. If 1 or more of the components is​ defective, the shipment is rejected. What is the probability that the shipment is​ rejected?

Q: Let Y denote the average age of the two children that are selected. What are all the different…

A: couple has 6 children. Jo, Co, are both 10 years old (they were twins), Joey is 8 years old, and…

Q: In a class of 10 boys and 15 girls, 5 boys and 8 girls will be chosen to sing a special number for a…

A: Note:- formula for combination   is   nC r = Crn = n!r ! n-r! Given information : Number of students…

Q: A 4/49 lottery involves choosing 4 of the numbers from 1 through 49 and a 3/32 lottery involves…

A:

Q: In a lottery game, a player picks 8 numbers from 1 to 44. How many different choices does the player…

A: The player has to pick 8 numbers from 44 numbers.

Q: Suppose you are to seat three people (Anna, Beth and Charlie) in a row. In how many ways, can they…

A: For three people (Anna, Beth and Charlie) We have to check seating arrangement so that Anna is…

Q: permutation problem: A company that makes crayons is trying to decide which 3 colors to include in a…

A: The complexity of using factorials to calculate the permutation led to the error you experienced.…

Q: 7. Cardo decided to order a pizza but he needs to choose the type of crust and the toppings. I there…

A:

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

A:

Q: List all the ways to select two different members from S without repetition. The order in which…

A: Given, S={Q,R,S,T,U}

Q: Refer to Table, the product table for rolling two dice. Of the 36 possibilities, determine the…

A: According to our guidelines, we have to answer the first question if multiple questions are posted…

Q: 4. Show the total number of possible outcomes by FUNDAMENTAL PRINCIPLE * OF COUNTING (FPC). A. 3x2=9…

A:

Q: A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn…

A: Solution :  Given that  A  box  contains 2 white balls ,  3 black balls and 4 red balls

Q: 6. Your favorite stats instructor invites you to play a card game. He uses a standard deck of 52…

A:

Q: Example 37. table so that no two ladies are together? In how many ways can 5 gentlemen and 3 ladies…

A:

Q: Determine whether the following problem involves a permutation or a combination and explain your…

A: No. of people who purchased raffle tickets(n)=50 No. of prizes(r)=3 The objective is to find the no.…

Q: Assume a businessman has 5 suits and 6 ties. He is planning to take 3 suits and 2 ties with him on…

A: Given information- We have given that a businessman has 5 suits and 3 ties. He is planning to take 3…

Q: pls help! No long expalanation needed. Write the solutions legibly. UPVOTE will be given!…

A: word : SWITZERLAND ; all 11 are different letters select 7 at random no. of ways start with S and…

Q: In a lottery game, a player picks 5 numbers from 1 to 40. How many different choices does the player…

A: In a lottery game, a player picks 5 numbers from 1 to 40.That is, the total number is 40 and the…

Q: The sum of three consecutive numbers is 72 What are the smallest of these numbers?

A:

Q: In a lottery game, a player picks 6 numbers from 1 to 43. How many different choices does the player…

A: In a lottery game total numbers from 1-43=43no. of numbers to be picked=6The order doesn't matter

Q: In the game of Rummy, each player has 7 cards in their hand. How many possible 7 card hands are…

A: In the game of rummy, each player has 7 cards in their hand. We have to find how many possible 7…

Q: The number of ways runners in a four-runner race can finish 1st, 2nd, 3rd and 4th is. Group of…

A: There is 4 position in four runner race.

Q: (d) The USA is the clear-cut best team in the world, followed by Germany and France. Suppose there…

A: Combination is defined as the technique of identifying or calculating the possible number of…

Q: Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and…

A: 4 colours : {red,blue,green,purple}select 3 colours at random without replacement(A) no. of ways to…

Q: Electronics Suppose that 46% of families living in a cer-tain county own a computer and 18% own an…

A: There are 46% of the families living in a certain country own a computer and 18% of the own an HDTV.…

Q: Find the value of the permutation. 9P2 9P₂ = (Type a whole number.)

A: Formula of permutation : nPr = n!(n-r)!

Q: Give an example of two cards Carlo could draw that cards at random and multiplies the numbers. Carlo…

A:

Q: Maia picked out 4 jelly beans from a bag of jelly beans to eat Is the selection below a permutation,…

A: Given that    Maia picked out 4 jelly beans from a bag of jelly beans to eat Is the selection below…

Q: Question Sam is going to order a meal. A restaurant has the choice of three main dishes, five…

A: According to rule of combination, the number of ways to select r objects out of total n distinct…

Q: Use the Multiplication Principle to find the total number of outcomes. 1. You are choosing a car.…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: Challenge In a bag of marbles there are 4 blue​ marbles, 4 red​ marbles, and 5 green marbles. You…

A: Given that there are  4 blue​ marbles, 4 red​ marbles, and 5 green marbles.Assuming that the marbles…

Q: you can choose 2 entrees and 1 side to make a lunch box  . There are 3 choices of sides. There are 6…

A:

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: In a survey participated by 100 college students, it was found out that 60% of them have personal…

A: We have to find confidence interval...

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.