The Grinch sneaks into a room with 9 Christmas presents to 9 different people. He proceeds to switch the name-labels on the presents. How many ways could he do this if: Exactly 4 presents keep their original labels? Explain. Exactly 8 presents keep their original labels? Explain

Q: Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5…

A: Given: 21 different competitors The total award is given = 5

Q: How did you get the 38,37, and 26?

A: No.of red balls = 3 No.of green balls =3 No.of blue balls =2 Total no.of balls = 8 (i.e. 3+3+2)…

Q: The University of Montana ski team has eleven entrants in a men's downhill ski event. The coach…

A:

Q: Paula’s Pie Shop offers 23 different pie fillings, each available in 8 different sizes and 4…

A:

Q: There are 6 athletes at a track meet. How many different ways can they finish first or second?

A: Answer:- Given, Total number of athletes at a track meet = 6  We need to find the number of ways can…

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: A jeweler selects 3 gems for a ring. The jeweler has: diamonds, sapphires, and emeralds. Let’s use…

A:

Q: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of a…

Q: Jonathan likes to randomly mix-and-match the colors of the shirts and pants he wears to school. His…

A: The objective of this question is to find the total number of possible combinations of shirt and…

Q: Ms. Tobin is arranging her colored pencil collection in the classroom. She has 24 pencils and needs…

A: Given, Tobin has 24 pencils, out of which 10 put in a bucket and other 14 put in a box.

Q: tickets all in the same row to a KC Royals game for himself and his friends next week. How many…

A: Given: n = 8 The number of different ways can the friends be seated in the row is, 8! = 40320Number…

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

Q: Visa cards have 16 digits. The first digit is always 4 as in 4xxxxx – with the 2nd to 6th digits…

A: There are 10 digits including zero. The first number should be 4. It is given that the 2nd to 6th…

Q: Mr. Jordan is traveling to Helsinki Finland with his Gibson Les Paul guitar for a competition during…

A: To find: How many different ways can he travel from Toronto to Helsinki.

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: Determine the number of arrangements of all the letters in the word SUCCESS.

A: We have to determine the number of arrangements of all the letters in the word SUCCESS. Here, total…

Q: Savanna is playing a game with her friends. She tells them to each pick a number, and then she…

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Q: ario painted identification letters on his bicycles so that he could track which ones are being used…

A: Since every cycle is coded with three letters of English alphabets, which starts with alphabet M.…

Q: Savanna is playing a game with her friends. She tells them to each pick a number, and then she…

A: Solve the following

Q: Andie has a blue sweater, a red sweater, and a purple sweater. She has a white shirt and a tan…

A: Our objective is to find in how many different ways can she wear asweater and a shirt together.

Q: A salesperson wants to display five bracelets in the store window. There are a total of nine…

A: Total no.of bracelets=9

Q: For a trip, eli packed 5 shirts, 3 pairs of pants, and 4 pairs of shoes. how many different outfits…

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Q: Juliette has 348 pennies. If she wants to divide them into sets of 16, how many sets can she make?…

A: this is question of algebra here we have to find using simple divide and get value of that. further…

Q: A teacher is creating a quiz.  There are 9 questions to choose from.  The teacher plans to select 3…

A: