Give two reasons why the set of odd integers under addition is not agroup.

Q: Explain the difference between a permutation and a combination of n items taken r at a time.

A: Two types of counting problems occur so frequently that they deserve specialattention. These…

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: How many different 3-letter permutations can be formed using the letters in the word "SCARED"…

A: Given  Word is SCARED and we need to determine the no of 3 letter permutations are formed using the…

Q: In how many ways can the car be ordered?

A: Given :  n1 = number of colour = 8  n2 = number of styles = 2

Q: how can the children in ms. varner's class tell if there is an even or odd number of children in the…

A: The children's are :

Q: In how many ways can the letters of the word 'RETAIL' be arranged in such a way that the vowels…

A: The objective is to find out in how many possible ways can the letters of the word 'RETAIL' be…

Q: c) How many numbers must be selected from the set {1, 2, 3, 4, 5, 6, 7, 8} to guarantee that at…

A: Given the set of numbers 1,2,3,4,5,6,7,8 To find how many numbers must be selected from the set to…

Q: The number of possible permutations if r objects are taken from n items is nPr =________.

A:

Q: In how many ways can the letters of the word ACCOMODATIONS be written 111.

A:

Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…

A: We solve the given problem in next step.

Q: USA Today reported that about 20% of all people in the United States are illiterate. Suppose you…

A: c. Obtain the number of people who are interviewed is 87% certain that at least 7 people are…

Q: what are subsets?

A: Let us consider two sets A and B.A is called subset of B if and only if B set have all elements of A…

Q: It's all about PERMUTATION - I'm how many different ways can 5 bicycles be parked if there are 7…

A: Given: n=7r=5 The number of ways 5 bicycles be parked in 7 available parking spaces is obtained as…

Q: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

A: The number of possible permutations if r item are taken from n item isnpr=nn-r…

Q: If only 15% of people asked to mail in a survey respond, this is an example of

A: Given that  Only 15% of people asked to mail in a survey respond.  We know that  Response bias :…

Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: How many distinct permutations can be made from the letters of the word MATHEMATICS?

A:

Q: In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A:

Q: Consider the numbers 2, 4, 5, 7 and 8. If repetition is not allowed, how many three digit numbers…

A: Solution To make the 3 digit number we will use permutation.

Q: How many possible permutations could be formed from the word ASSISTANCE?

A: Explanation: The number of letters in the word ASSISTANCE = 10 Number of Possible permutations means…

Q: How many unordered sets are there of two items chosen from four? sets

A: To Find: How many unordered sets are there of two items chosen from four? Concept: Crn=n!r!n-r!

Q: In how many ways can a club flush be obtained?

A: Here we have to find in how many ways can a club flush be obtained.

Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: Is the set O of all odd counting numbers (1, 3, 5… ) closed for multiplication? Why or why not?

A:

Q: 39. How many groups can be formed from  8 students taking at least 2 at a time?

A:

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no…

A:

Q: In how many ways can 8 books be choosen from a group of nine?

A:

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: In how many ways can 6 books be choosen from a group of nine? Your answer is: Calculator > Next…

A: Given Data: n=9 x=6

Q: How many permutations are there of the letters in the word "PEPPERMINT"?

A:

Q: Find the number of distinguishable permutations of the word "VANQUISH".

A: Given word is "VANQUISH"    Total no. of letters=8    and no letter is repeated.

Q: How many ways can a group of n people be arranged in a circle that contains k equally distributed…

A: Number of ways of selecting k people from n people = Ckn = n!k!*(n-k)!

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: A restaurant offers a special pizza with any 6 toppings. If the restaurant has 11 topping from which…

A:

Q: How many permutations are there of all the letters in the word COMBINE?

A: It is as simple as evaluating n!, where n is the amount of letters. There are 7 letter word.

Q: 2. How many distinct permutations can be formed from all the letters of the word THREE?

A:

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

Q: How many unordered sets are there of four items chosen from six? sets

A:

Q: Here are three boxplots on an unlabeled number line. A в Which boxplot has the following five-number…

A: It is a graph that shows five-number summary. The general boxplot is shown below:

Q: How many disitinctly different Facebooks can you create that have exactly three distinct individuals…

A:

Q: How many permutations are there of the letters in the word 'PENCILS', if all the letters are used…

A: If all the letters in the word are distinct and we have to arrange letters without repetition, then…

Q: Is the set of permutations ? (?) commutative? Justify your answer

A:

Q: Is the set of permutations P(X), commutative? Justify your answer

A: .

Q: The state of Florida reports that 75% of all patients first diagnosed with a spinal cord injury are…

A: The state of Florida reports that 75% of all patients first diagnosed with a spinal cord injury are…

Q: In how many ways can the letters of the word “LEADER” be arranged?i

A:

Q: How many six-number combinations can be generated from the numbers from 1 to 42 inclusive, without…

A: Given information: A 6 number combination is to be generated. The possible numbers are selected…

Q: 3. How many permutations of the 26 letters of the English alphabet do not contain MATH, PATH, SUM,…

A: Total number of permutations of n distinct objects is given by n! Then, the number of permutations…

Q: 12. How many possible sets of four marbles include no more than 1 purple marble?

A: