a) Using all the letters of the word MATHEMATICS, determine how manydistinguishable arrangements begin with a vowel.b) At a pie baking competition, 6 boys and 7 girls are hoping to be chosen asjudges. Determine how many ways 4 judges can be selected if at least two of thejudges must be girls.c) To create a 7 character passcode, you need to select three digits from 1, 2, 3, 4,5 and four letters from the word HOLIDAY. Determine how many ways you canselect the 3 digits and the 4 letters, and then arrange the 7 characters as apasscode.Your answer:

Answered: Image /qna-images/answer/abc75350-fd52-4677-823c-957f3428a00d.jpg

Answered: a) Using all the letters of the word…

Math

Algebra

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

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Evaluate de using Sikipeout ķ rule 3. ta king

Q: The table lists the number of deaths (in thousands) in a certain country during a particular year…

A: The given data is W B I A H F 1018 168 9 35 88 M 1139 190 12 36 112

Q: A survey was given to a group of students that asked about which sports they liked. Of the 65…

Q: Choose the correct name for the set of numbers {0, 1, 2, 3,...}. (a) Counting numbers (b) Whole…

A: The different set of numbers have different names. For example the set contains the numbers like 2,…

Q: b) Find the number of arrangements of the eleven letters in the word which: i) the first letter is R…

A: Given word : RECRUITMENT Total letters = 11 R = 2, E = 2, T = 2

Q: a) Using all the letters of the word ALBERTA, determine how many distinguishable arrangements begin…

Q: 1.Given that 800 people are surveyed, 500 watch sports, 400 watch reality shows, and 220 watch both,…

A: Total people = 800 Sports = 500 Reality shows = 400 Both = 220 People that watch only sports = total…

Q: 5) Show calculations and cancellations by hand: How many different ways can a teacher select 6…

A: The total no. of students is 19. The no. of students to be selected is 6. For n given elements,…

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: Do you know what a palindrome is? It is a word or phrase with the same spelling when written forward…

A: To Find the distinct arrangements of the letters in the word REDIVIDER.

Q: Give the number of subsets & the number of proper subsets; a. A={ a, b, d} # of subsets: # of proper…

A: Number of subsets of set having n number of elements = 2n Proper subset is a subset , which is not…

Q: There are four numbers in a data set. They are 4, 6, 8, and 11. a) What is the ∑∑ x2x2 b) What…

A: x 4 6 8 11

Q: Which set has the greatest number of elements? Select one: a. The set of whole numbers less than -1…

A: A set is a group or collection of things or numbers that represents an independent entity and is…

Q: Given the numbers 1,3,5,5,7,7,7 a) Find out how many ways the numbers can be arranged. b) Find out…

Q: 14. How many possible ways are there to arrange the order of appearance for 8 contestants in a local…

A: If there are n elements to be arranged in a row, the number of possible arrangements of them in…

Q: 10 Different People order 3 donuts each, chosen from 5 types of donuts. At least one person chooses…

A: (a) Thee will be 10 different possibilities for number of person to pick all 3 donuts of the first…

Q: Twelve jewels of different colours will be arranged to form a clock. Find the number of…

A: The Circular Permutation: The number of ways to arrange n distinct objects in a fixed…

Q: The median of the marks 11, 11, 2x +4, 4x- 4, 17, 17 arranged in ascending order is 15. Find the…

Q: Counting numbers are to be formed using only the digits 6, 7, and 8. Determine the number of…

A: Given that: Counting numbers are to be formed using only the digits 6, 7, and 8. To find:…

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: A survey was given to a group of people camping at a state park. They were asked if they used the…

A: Let A be the set of people who used hiking trails. B be the set of people who used biking trails.…

Q: 18. A Committee Of Ś people is to be formec fro a sele ctHon pool OF 12 peOpe. IF Carmen must be…

A: As per our guidelines, we are supposed to answer the only first question please repost another…

Q: elect the correct term to complete the statement. A group of 12 patients taken from all patients…

A: Population is the set of all subjects of interest.

Q: F1) How many: a) 7-odd digits from 0,09,1,1,2,3. b) 6-digit. numbers (no restrictions) from ojo, 1,…

Q: What is the whole number in expanded notation for 28,214

A: Expended notation of whole number 28,214 is

Q: Find the number of ways A,B,C,D,E can be arranged if a. the arrangements must begin with the letter…

A: The number of ways of arranging n digits in n! Ways.

Q: Find the number of different ways that an instructor can choose 6 students from a class of 29…

Q: 14 1. How many code words of any length (including 1-letter words) can be formed from the letters in…

A: Given problem Given that We have to find the number of code words of any length ( including…

Q: b) If SStotal= 100, what is the SSerror?

A: To find SS(error), we need to first calculate SS(effect), which is the sum of squares due to the…

Q: iven the numbers 1,3,5,6,7,8 a) Find out how many ways the numbers can be arranged. b) Find out how…

A: Given that Given numbers = 1, 3, 5, 6, 7, 8 Number of numbers = 6 We know that Number of ways…

Q: At a certain website, passwords are 5 symbols long. The symbols can be the 26 letters of the…

A: As per guidelines we will only answer first three subparts, please repost other subparts for more…

Q: Q1: a)How many anagrams are there of the word “assesses” that start with the letter “a”? b)…

Q: 1. Unit 1: Building on standards from Analytical Geometry and from middle school, Students will…

Concept explainers

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.

Question

100%

a) Using all the letters of the word MATHEMATICS, determine how many
distinguishable arrangements begin with a vowel.
b) At a pie baking competition, 6 boys and 7 girls are hoping to be chosen as
judges. Determine how many ways 4 judges can be selected if at least two of the
judges must be girls.
c) To create a 7 character passcode, you need to select three digits from 1, 2, 3, 4,
5 and four letters from the word HOLIDAY. Determine how many ways you can
select the 3 digits and the 4 letters, and then arrange the 7 characters as a
passcode.
Your answer:

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

be A) There are 25 students in this class. How many different support groups could you a part of, if each support group contains a total (including you) of 3 or 4 people?
How many 3-letter arrangements can be formed if at least one of the letters is to be chosen from the vowels, a, e, i, o and u?
Find the five-number summary of Cavendish's measurements from the list below? Choose five numbers from the list.)
Note: This is for practice only, this will not affect my grade.
2 Explain how you can use the patterns in the table to find the decimal form of 17 20 Curriculum Associates, LLC Copying is not permitted.
testlo0)
To draw and label 3 different types of bar diagram with specific titles
Determine the number of different 11-bead necklaces that can bemade using two colors.
5)Write the number of shaded squares in each triangle. Write the rule for the pattern and sketch the next triangle. How many shaded squares will be in the 12th triangle? How many in the 100th? And now how many in the n-th triangle?
pls answer number 2
What is the total number of ways to arrange the letters in the word "MATHEMATICS"?
In 150 words explain the role of Mathematics in Accountancy field?