a) Using all the letters of the word MATHEMATICS, determine how many distinguishable arrangements begin with a vowel.

Q: 2. Find the number of words, with or without meaning. that can be formed with the letters of the…

A: According our policy we can answer only first question for remaining please repost the question.

Q: When ordering a certain type of computer, there are four choices of hard dnve, five choices for the…

A:

Q: 1. While scanning through the dessert menu of your favorite restaurant, you notice that it lists 14…

A: To solve such problems, simply we use Venn diagrams.

Q: Set A contains 19 elements, set B contains 22 elements, and 6 elements are common to sets A and B.…

A: A set is a well-defined collection of objects, these objects are called the elements of the sets.…

Q: In how many distinct ways can the letters of the word READERS be arranged? Oways

A: We have given that a word READERS. We need to tell the distinct number of ways of this word.

Q: Divide 33 souvenirs intp two groups so that the ratio is 3 to 8. * 10 souvenirs and 23 souvenirs 9…

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Q: 1 On a circle, there are 5 points selected. How many triangles are determined by these points?

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  here we can use combination

Q: Draw a pie diagram to represent the following Male Female Girls Boys Total 2000 1800 4200 2000…

A: Given that  Male 2000 Female 1800 Girls 4200 Boys  2000 Total 10000 We have to draw…

Q: How many permutations can be made to 10 pocalettes (small coconut shells) in designing the edge of a…

A:

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

A: Given : A word HIMALAYA

Q: What group theoretic property do uppercase letters F, G, J, L, P, Q, Rhave that is not shared by the…

A:

Q: How many proper subsets does S = {A, B, C, D} have?

A: We can find the number of proper subsets as below using the required formula.

Q: How Many Distinguishable Orderings Of The Letters In The Word CLASSICS?

A: The word CLASSICS contains 8 letters . Where 2 are C's , 1 is L , 1 is A , 3 are S's , 1 is I

Q: Find the number of distinguishable permutations of the letters in the word APALACHICOLA

A: we have to find the number of distinguishable permutations of the letters in the wordAPALACHICOLA

Q: In topology, a coffee cup and a donut are both of genus

A: Genus is the number of holes of a surface.

Q: Question 13: How many distinguishable four letter arrangements can be made only from the letters of…

A: Given word, MISSISSIPPI Find the number of arrangement with occurrence of four letter IIII in the…

Q: 9 Identify anx loofs or farallet adaes ? (b) Are there any Saukres? C) Ave there any Shiksing

A: Comment: We will answer the first three subsections of the question   Let g be a directed graph…

Q: another name for the ogive

A: ogive is a roundly tapered end of a graph.

Q: How many different permutations of the letters in ALASKA are possible?

A: Total number of letters in ALASKA are 6. And there are three A's. i.e. n=6 and r=3

Q: Given the set, what are the odd in favor a person would be randomly assigned a circle or an oval?

A: The odds in favor - the ratio of the number of ways that an outcome can occur compared to how many…

Q: Find the number of words of length n using the alphabet {a, b, c, d, e} in which the total number of…

A:

Q: A pyramid is going to be built with the following number of bricks. Three thousand eight hundred…

A: number oh bricks need for each flood decreases in arithmetic progression the sequence is…

Q: The number of distinct 4-letter arrangements that can be made using the letters in the word UPDATES?

A: To find the number of distinct 4-letter arrangements that can be made using the letters in the word…

Q: How many ways can the letters in MATHROCKS be arranged if it must begin with a vowel and end with a…

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

Q: The Mathematics Department of the University of 6 the Louisville consists of 8 profess professors,…

A: From the given information, there are 8 professors, 6 associate professors and 13 assistant…

Q: There are ____________ distinct arrangements of the word "SLEEPLESSNESS" if the word starts with…

A:

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

A: In word "TENNESSEE", Number of E's = 4 Number of N's = 2 Number of S's = 2 Number of T = 1 Total…

Q: how many arrangements of the letters from the word COUNTING begin with a vowel

A: C = 1  O = 1 U = 1 N = 2 T = 1 I = 1 G = 1 __________________ Total = 8 __________________ Vowels =…

Q: How many ways are there to arrange the letters in the word SIERPINSKI? How many arrangements begin…

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Q: In how many distinct ways can the letters of the word ATLANTA be arranged?

A: Just count total letters in the given word and repeated ones and then the answer is easy.

Q: 16. A backpack is on sa $60, what was the origi

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Q: Answer the following: a) How Many ways can a stylist arrange 5 of 8 vases from left to right in a…

A: The given questions are related to permutations. The formula is given by nPr=n!(n-r)!

Q: 1. How many strings of three lowercase English letters contain at least one vowel?

A: Given: How many strings of three lowercase English letters contains at least one vowel

Q: Find the number if distinguishable permutation of the letters in the word: APALACHICOLA

A: Letters Frequency A 4 P 1 L 2 C 2 H 1 I 1 O 1 Total 12

Q: How many permutations of the letters in word MASSACHUSETTS have a consonant in the first position…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: In how many ways can the word SPACE be misspelled?

A: The number of permutations of n distinct elements is n!

Q: How many ways are there to arrange the letters in the word SIERPINSKI? How many arrangements begin…

A:

Q: How many distinct arrangements are possible using the letters of the word POSSIBILITY?

A: Important keys :  When given a number of objects and we would to find the possible different…

Q: In how many different ways can the letters of the word CONVERSION be arranged such that the vowels…

A:

Q: 16. What are the corresponding parts of ACAE an ADAB? SEE EXAMPLE 1

A: Corresponding parts of Triangle CAE and Triangle DAB are as following.

Q: How many distinct permutations of the letters of the word TABULATION contain the string ION?

A: Number of permutation  keeping ION as one we get that 8!2!=8· 7· 6· 5· 4· 3=20160

Q: If a spinner, labeled 1-4, is spun 16 times, what is the probablitiy of spinning fewer than 3 fours.…

A: Binomial distribution:It is a discrete probability distribution that has exactly two outcomes for…

Q: 2. Ten points are randomly placed on a circle. In how many different ways can you form each…

A: Given, there are 10 points in a circle.  We need the number of ways in which we can form : a.…

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

A:

Q: a. What is the largest number of nonoverlapping triangles that can be found in the diagram? b. What…

A: As per the diagram, the total number of non-overlapping triangles are 9. This includes 5 triangles…

Q: 3. There are 9 dots randomly placed on a circle. How many triangles can be formed within the circle?

A: The number of ways r items can be selected from n different items is equal to C(n,r). The formula…

Q: Given the Venn diagram, shade the corresponding regions.

A: Venn diagram are used to pictorial representation of different groups. It used for easy understand…

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.