permutations

Q: Classify the problem as a permutation, a combination, or neither. How many three-digit numbers can…

A: Given that  Numerals = { 2 , 3 , 4 , 5 }   Number of three digit numbers formed without repetition.…

Q: You are tasked to arrange five different Mathematics books, four different Science books and three…

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Q: How many 4-digit number can be formed with the digits 5,2,3,0,4,6 and 7 which are divisible by 5 and…

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Q: If there are 9 people and only 4 chairs are available , which of the following is the correct…

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Q: In a club of 15 people, we need to choose a president, vice-president, secretary, and treasurer. In…

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Q: Combination. There are 15 technicians and 11 chemists working in a research lab. They need to form a…

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Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…

A: a. b. c.

Q: John is putting ceramic tile on the wall of the school store and he chooses three colours of tile:…

A: John has purchased 20 tiles in total, five green, 10 gold, and five white.

Q: 6. How many ways are there to arrange the letters in the following words? (a) PENCIL (b) PEPPER…

A: Solution :-

Q: You must make a committee of 5 from a group of 20 people, 12 women and 8 men. a. How many ways can…

A: As per our guidelines we are supposed to answer only three subparts kindly post the remaining…

Q: twenty tickets are entered into a raffle. 1st prize receives $100;2nd prize receives $25;3rd prize…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: b. As an IT executive, one of the task is to manage the issues of information security. For this…

A: First 3 alphanumeric : A to Z   upper case with repetitionNext 3 alphanumeric: 0-9       with…

Q: In how many ways can MICHELLE be arranged if: The letters Mic must be together The second and…

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Q: How many ways can 12 people line up if Joey and Sally must be next to each other?

A: here given group of 12 people arrange in raw   and arrange around round table

Q: How many three-letter "words" (some may be nonsense words) can be made from 4 letters "FGHI" if…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Some of my cousins and I spent a week helping Grandma Rosie clean out her attic. We found a bunch of…

A: Total number of marbles = 3672  Let the number of grand-children be xNumber of marbles equally…

Q: The 50 members of a club include both the club president and the club treasurer. All 50 members want…

A: Topic- permutations and  combinations

Q: In how many ways can you choose one or more toys from six Jollibee Kiddie Meal Toys? answer this…

A: Given Information: The number of Jollibee Kiddie meal toys , N =6. Determine the number of ways that…

Q: The number of four-letter words that can be formed from the letters of LULLIN (each letter appears…

A: We have given that The number of four-letter words that can be formed from the letters of LULLIN

Q: Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress…

A: He can pick a shoe in 3 ways, a boot in 4 ways, a jeans in 8 ways, a dress pant in 9 ways, a dress…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

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Q: If 6 horses are racing at a track, how many ways can 3 horses take place in the top 3 places? O 18 O…

A: Given: Number of horses = 6

Q: Use permutations to solve. The student activity club at the college has 39 members. In how many…

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Q: Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she…

A: Given query is to find the arrangement of 9 paintings and the selection of 4 out of 9.

Q: The student body of 95 students wants to elect two representatives. Combination; 2,232 O…

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Q: In how many ways can one arrange the letters AAAAAABBBBBBBBCCCCDDDDD? Note: There are 6 A's, 8 B's,…

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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: A computer package comes with two different choices of printer, four different monitors, and 2…

A: From the provided information, A computer package comes with two different choices of printer, four…

Q: 1. A local restaurant serves tacos for $1 every Tuesday. For each taco, you must choose one filling,…

A: For each taco we must choose one filling one salsa and one tortilla. From the question we can see…

Q: Twelve classmates are taking a picture side by side.  A. In how many ways can they take the picture…

A: Given , Twelve classmates are taking a picture side by side.     (a) In general, n distinct objects…

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.