1. Determine the permutations of the following.

Q: Assume the cards are drawn sequentially and without replacement. (permutations) In how many ways…

A: Given data, given that 5 Spades can be drawn from a standard deck of 52 cards. The cards are drawn…

Q: Determine the number of permutations of 10 objects taken six at a time. Determine the number of…

A: Permutations and combinations are fundamental concepts in combinatorics, a branch of mathematics…

Q: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI?

A: Given ,  Word - MISSISSIPPI number of letter in word MISSISSIPPI = 11

Q: Let S=(1,2,3,4,5,6,7,8). How many permutations are there if: a. The odd and even numbers trade…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: is the permutation (245)(134) odd or even?

A: The objective of this question is to determine whether the given permutation is odd or even. In the…

Q: A.) How many distinct  permutations can be formed from all the letters of the word "unusual"? B.)…

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Q: Consider the following permutations in S,: 4 5 6 7 2 3 6 2 4 1 7 5 3/ The order of a is 4 OOO

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Q: Which of the following represents a permutation? Select all that apply. the PIN for a bank or credit…

A: A permutation is an arrangement of objects in a definite order.

Q: How many distinct permutations can be formed using the letters of the word "CHARACTER"? There are…

A: We want to find number of distinct permutation of word CHARACTER.

Q: There are 52 students interested in taking a class. Unfortunately, there are only 48 spots available…

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Q: (a) In how many ways can persons A, B, C be lined up? List all possible permutations of these…

A: Solution: a). Total number of persons  = 3 Number of ways that persons A, B, C can be lined up is =…

Q: 4. Count the distinct permutations of all the letters in the word mathematics.

A: Solution : Distinct permutation of all the latters in the word " mathematics"

Q: 9. Suppose you are given an ordinary deck of playing cards. In how many ways can 7 cards be…

A: Given :   An ordinary deck of playing cards. Total Cards=52

Q: This problem involves permutations. A pianist plans to play seven pieces at a recital. In how many…

A: (1) There are seven pieces at a recital we can arrange the 7 pieces of recital in 7! ways…

Q: 1. Consider the two-digit positive integers 10, 11, 12, .., 99. Answer the following questions. a.…

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Q: Find out how many distinguishable permutations are in the following words. 10.tree

A: Given problem Given that   The word is tree . We have to find the number of distinguishable…

Q: Apply the Fundamental Properties of Counting or Permutation to solve for the following problems.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: How many distinct permutations can be formed using the letters of the word "ROBBERIES"? There are…

A: We want to find total number of permutations of given word.

Q: Determine the following permutations: a. 6P 3 b. sPs 7 Po C.

A: The permutation can be obtained using the formula as:

Q: Evaluate the following permutations #1) A standard poker hand consists of five cards dealt from a…

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Q: List all the possible permutations of: GREET

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Q: How many inversions are in the following permutation?: [2, 5, 1, 6, 3, 4]

A: Inversions of a permutation

Q: We have 5 books, including books A and B. We place them randomly on an empty shelf, one next to the…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: is the permutation (2154) even or odd?

A: The provided information is as follows:The objective of the given example is to determine whether…

Q: 4. Suppose four people are lining up for a photo. Does this situation represent a How many different…

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Q: 20 How many 5-permutations are there of a set of eight objects? 336 O 6,720 56 O 40

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Q: Q10) In a grand prix race with 6 cars, how many different possibilities are there for the order of…

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Q: How many different ways are there for all 15 cats to be adopted? (permutations)

A: The number of different ways of arranging n objects is n!.

Q: These are all related to permutations, so I hope all three can be answered per your ruling. Thanks!…

A: Given : 3 Situations Where use permutation formula

Q: Find the number of distinguishable permutations of the letters in each word below. (a) greater (b)…

A: Number of distinguishable permutations of the letters :  = N!/(n1!*n2!*n3!..)  N = total n1 =…

Q: . Explain the differences between Permutation and Combination.

A: Permutation = 1)The different ways of arranging a set of objects into a sequential order are termed…

Q: Calculate the following permutations, combinations and factorials. 8!

A: The objective of the question is to calculate the factorial of 8. Factorial of a number is the…

Q: a.How many positive two-digit integers are multiples of 3 ?b.What is the probability that a randomly…

A: Step 1: Step 2: Step 3: Step 4:

Q: Number of circular permutations of different things taken all at a time is (n-1)!. a. True b. False…

A: Permutation is the measure that used to determine the arrangement of objects. There are different…

Q: is the permutation (245)(134) odd or even?

A: A permutation is even if any one of the two following conditions hold:(1): The permutation can be…