There are 9 books on a book shelf. In how many ways can you arrange the books on your shelf? Note: You can type the factorial sign in your answ

Q: There are 10 guests at your home for a dinner party. In how many ways could the guests arrange…

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Q: If n is a counting number, bn, read_______ ,indicates that there are n factors of b. The number b is…

A: bn reads b to the power n. b is called the base and n called the exponent.

Q: Myra is picking 6 roses from a 12 bases.is it a permutation or a combination and why?

A: Combination of a number of object is the arrangement of objects without considering the order, while…

Q: Evaluate the factorial expression.

A: Given factorial is, 17!15! Factorials are basically employed in combination and permutation…

Q: Anna has carved 5 jack-o-lanterns, each with a different face. How many ways can four of the…

A: We are solving it by counting method Given: We have 5 jack-o-lanterns, each with a different face…

Q: Evaluate the factorial expression.

A: Given:             16!2!14! Factorials (!) are products of every whole number from 1 to n.…

Q: Use a permutation expression to solve. In a race of 43 people, how many different ways can the…

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Q: Assume that 8 women and 6 men work in a department at a large company.   Four committee members are…

A: Given,no.of women=8no.of men=6Total no.of peoples=14

Q: There are 12 people that have entered a gaming tournament with prizes for 1st place, 2nd place, and…

A: Given: n = 12r = 3

Q: In how many ways can 9 students be arranged in a row if 3 particular students must always be grouped…

A: Given that  9 students are arranged in a row. 3 Particular students are always be grouped together.…

Q: Please use permutations in your solutions, these are all related to permutations, so I hope…

A: Given:  group 10 people using permutation how many different ways to choose the officers

Q: What is the number 1'? Composite number Neither Prime nor Composite O

A: Prime Number: Prime numbers are numbers that have only 2 factors 1 and themselves. Eg: 2, 3 etc.…

Q: a. What are the first six multiples of 9? b. What are the first six multiples of 12? c. What is the…

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Q: In a contest where 7 contestants are entered, in how many ways can the distinct prizes be awarded

A: Ans- Given,In a contest where 7 contestants are entered, In how many ways can the distinct prizes be…

Q: HoW Many ways can 7 keys be arranged on a key ring?

A: Part 1. The number of ways 7 keys can be arranged on a key ring =

Q: 15. Explain when to use a permutation and when to use a combination

A: Permutation is used for lists (order matters) and Combination for groups (order doesn't matter). A…

Q: Find the number of permutations of the letters in the word COCONUT.

A: Here, the word coconut has total 7 latter . Now there are repetition in latter C and O. Here, C is…

Q: Draw a number rod diagram that shows that 15 is divisible by 3 but is not divisible by 4

A: This question can be solved by drawing  a rod diagram.

Q: A baseball coach is determining the batting order for the nine players she is fielding. the coach…

A: Given that the coach has already decided who will bat first and second. This means (9-2)= 7 more…

Q: Wordle has a list of 10,657 5-letter words from a 26 letter alphabet that it allows as guesses. If…

A: Given that List of 106575 letter  26 letter of alphabet

Q: If mis divisible by 9 and 4, then mis divisible by 12.

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Q: a) In how many ways can the letters in the word SUCCESS be arranged? b) In how many ways can the…

A: a) There is a total of 7 letters in the word SUCCESS. Among them 3 are S and 2 are U. So the total…

Q: Evaluate the factorial expression: 16!/2!14!

A: We have to evaluate the factorial expression 16!2!14! We know that n!=nn-1n-2.......3×2×1 Evaluating…

Q: There are 6 books on a book shelf. In how many ways can you arrange the books on your shelf? Note:…

A: The number of books on a shelf = 6 There are 6 books can be arranged in 6 different places on a…

Q: Mauri had 4 dogs that be split among d familes. How do you write this as a divison sentence?

A: Given Mauri had 4 dogs that be split among d Families. To write This as a division sentence?

Q: (a) 7 kinds want to trade hockey cards. Each kid brings a different card to school and gives it to…

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

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

Q: Evaluate the factorial expression: 17!/15!

A: Evaluate the factorial expression: 17!15! The formula of n! = n(n-1)(n-2)(n-3)…

Q: Ferris wheel has 15 cart seats. In how many possible ways can 15 people arrange themselves in the…

A: solution: The number of ways 15 people can be seated abreast = 15! =1307674368000  This is also the…

Q: Evaluate the factorial expression: 18!/16!

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Q: Find the number of ways in which 9 different computer games can be shared out between Wainah, Jingyi…

A: Here there are 9 different computer games that can be shared between Wainah (W), Jingyi (J) and Hebe…

Q: termine if 345 is divisible by 5, 6,

A: Introduction: 5 times divisible Numbers with a one-place digit of 0 or 5. 6 times divisible. A…

Q: Find the value of the factorial. 7! 7! = (Type a whole number.)

A: In this case, we need to find the value of factorial of 7.

Q: There are 13 guests at your home for a dinner party. In how many ways could the guests arrange…

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Q: What is the greatest common divisor of 24 and 44? n If n is a natural number such that gcd(800, n) =…

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Q: How many factors must you check to see whether 113 is a prime? O 11

A: We have to find out how many factors must be check to see whether 113 is a prime or not.

Q: Explain why it is convenient to write the expression for the number of possible permutations in…

A: It is efficient and time saving, imagine if you want to write 4! in its entire multiplication form…

Q: How many different ways can 8 players among those 24, qualify for the quarter-finals?

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS a tournament if there…

Q: n how many unique ways can we rearrange the letters in the word COEFFICIENT?

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Q: Evaluate the factorial expression.  7! - 2!=

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Q: Use the 'Permutations' formula to evaluate the expression P(29, 3).

A: Given that the expression: P (29, 3) The permutation formula is given by, Pn,r=Prn=n!n-r!…

Q: ow many ways can you arrange 9 keys on a key ring without a clasp

A: A permutation is an arrangement of all or part of a set of objects, with regard to the order of the…

Q: What does the divisibility rule of 4 and 8 have in common ?

A:

Q: In a game of Texas Hold’em 2 cards are dealt to each player face down. 5 more cards are then played…

A: From a pack of 52 cards total 12 is chosen in C1252 ways to be distributed to the players and then 5…

Q: where did 22/7 come from

A: Given ,  A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through…

Q: Evaluate the factorial expression.

A:

Q: How many ways can 7 people be seated around a circular table? Group of answer choices 7!77!7 More…

A: The formula for n! is n!=n·(n-1)·(n-2)·⋯·2·1 . The formula for n-1! is (n-1)!=n!n=(n-1)·(n-2)·⋯·2·1.…

Q: Add a lottery, hundred tickets were sold and three prizes are to be given. How many possible…

A: Given n=100 r=3

Q: nd her brother has 8 visitors. In how many ways can they be seated including Clara and her brother…

A: Carla has = 6 visitors Her brother has = 8 visitors we have to find  how many ways can they be…

Q: CK_OI diamonds (red), spades (black) and clubs (black). a) How many cards must be selected from a…

A: As per given by the question, there standard deck of cards contains 52 cards, 13 card each of four…

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.