3. Suppose a landline number contains 5 digits. How many different landline numbers can be made with the digits 0-9 if no digit is used more than once and the first digit is not 0? 4. How many words can be formed with the letters of the word "IZOLA" with or without meaning?

Q: In how many ways can the letters of the word HORRAR be arranged if vowels are together?

A: Given information- We have given the letters of the word- HORRAR We have to find a number of ways to…

Q: How many distinct 4-letter words can be formed from the word “books”?

A: The given word is “books”. The distinct letters in the word are b, o, k, s which are 4. The number…

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: 4. How many five-letter codes can be formed from the letters of the English alphabet if repetitions…

A: Solution: Number of English alphabet  letters = n= 26

Q: (a) If any nine letters of the 27-letter Spanish alphabet could be used to form a nine-letter word,…

A: Here as PER POLICY  I HAVE CALCULATED  1ST main question only    9 letter word selected from total…

Q: Would you rather have $10,000,000 and a brand new BMW, or 1¢ today, 2¢ tomorrow, 4¢ on day 3, 8¢ on…

A: Option 1 is $10,000,000 and a brand new BMW   Option 2 is 1¢ on day 1, 2¢ on day 2, 4¢ on day 3, 8¢…

Q: 2. How many 3-digit numbers with no repeated didgits using 4,5,6,7,8 can be a) Less than 520 b)…

A: Number digit numbers with no repeated didgits using 4,5,6,7,8=P53=60 This is less than 520.

Q: 2. How many plate numbers consisting of three letters and three digits can be created using the…

A: We have to find plate numbers consisting of three letters and three digits. We know that total…

Q: Given S = {1,2,5,8,9}, in how many 3 digit numbers can be formed if each number cannot be used more…

A: Here given ,  There are total 5 digits are available . And from given 5 digits make 3 digit number…

Q: How many different 7-letter words can be made a. if the first letter must be G, X, P, or L and no…

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: If 21 = 22 = 23, 24 = 25, and mz4 = mz3 + 10°, What is m25? m25 =

A: Given that: ∠1≅∠2≅∠3, ∠4≅∠5 m∠4=m∠3+10o To find: m∠5

Q: How many different letter arrangements can be made from the letters in the word of…

A: Given word is COMMUNICATION"c" is repeated 2 times"m" is repeated 2 times"N" is repeated 2 times"I"…

Q: How many four letter words beginning and ending with a vowel without any letter repeated can be…

A:

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: How many three-letter "words" can be made from 7 letters "FGHIJKL" if repetition of letters (a) is…

A: It is given that there are 7 letters available in “FGHIJKL”.   a). Since, the repetition of letters…

Q: How many distinct 9-letter words starting with “i” can be formed from the word “committee”?

A:

Q: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters (a)…

A: Solution: 39. From the given information, the 10 letters are “FGHIJKLMNO”.

Q: How many ways to arrange 5 books on the shelf exist if two definite books are not placed together.

A:

Q: 8. Explain why in any group of 1500 people there must be at least 3 people who share first and last…

A: To find- Explain why in any group of 1500 people there must be at least 3 people who share first and…

Q: 1. The plate number system for the four-wheeled vehicles in the country of Dominian consist of 3…

A: 1) Given Information: The plate number consists of 3 letters and 4 digits. The first letter…

Q: 2. In how many ways can a fragger, a sniper and a medic be chosen from among 7 soldiers? 3. Suppose…

A: As per bartleby guidelines expert have to answer first question only..

Q: Suppose that a license plate consists of three uppercase letters followed by three digits. How many…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  here use counting principle

Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters (a) is…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: How many 5-digit numbers can be formed using the digits 0 to 9 if repetitions are allowed?

A: Total number of digits allowed are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,

Q: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

A:

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A:

Q: If any nine letters of the 27-letter Spanish alphabet could be used to form a nine-letter word, how…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: How many different three-letter codes can be made from the letters {a,b,c,d,e}? How many of them…

A:

Q: 5. From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, if six-digit numbers are to be formed and…

A: 5) Total number of digits to be used 8 Unit digit can hold any of the 4-digits; 3,5,7,or 9 for an…

Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

A:

Q: How many ways to arrange 7 books on the shelf exist if two definite books are not placed together?

A:

Q: 1. If six (6) people greet each other at a meeting by shaking hands with one another, how many…

A: Understand the problem: Total number of hand shakes when six people hand shake with one another.…

Q: In how many ways can the first 5 consonants be paired with the vowels of the English alphabet?

A: There are 5 vowels in English alphabets. So 1 consonant can be paired with 5 vowels in 5 ways.…

Q: A. How many 3 digit numbers greater than 200 can be made from 0,1,2,3,4,5 if repetition of digits is…

A:

Q: How many 4-digit numbers can be formed from the digits 0,1,2,3,4,5,6,7 and 8, if each digit can be…

A:

Q: 10. How many three-letter codes can be made from the letter of the word LOCKED if the first and the…

A: In the word LOCKED. Total 6 letters. the consonants are: L, C, K, D. Total 4 consonants. The vowels…

Q: How many words, with or without meaning, each of 3 vowels and 3 consonants can be formed from the…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: How many different phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1…

A: Given data: phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1 and…

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

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

Q: 7. How many numbers less than 7000, with no repeated digits can be formed by use of the digits 0, 3,…

A:

Q: How many different words can be formed with the letters of the word BANANA ?

A: We have given that  the letters of the word BANANA , How many ways

Q: What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to…

A: If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference…

Q: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters (a)…

A: Without Repetition : The number of ways to draw a 'r' units from 'N' population of units by using…

Q: requires eight letters for user names. lower and upper-case letters are considered the same. how…

A: It is an important part of statistics. It is widely used.

Q: How many 4​-letter code symbols can be formed from the letters from the word PODS without​…

A: Given words is"PODS"No.of letters in word "PODS" = 4

Q: 5. How many license plates can be made using either two or three uppercase English letters followed…

A: The following information has been provided: The total number of uppercase English letters=26 The…

Q: 1. You have an ID number containing from 9 digits. How many IDs get the number "6" as their second…

A:

Q: 3) Suppose Set A contains 60 elements and Set B contains 59 elements. If the total number elements…

A:

Q: How many words, with or without meaning, each of 3 vowels and 3 consonants can be formed from the…

A:

Q: How many different four-letter radio station call letters can be formed if the first letter must be…

A: We have to form different four-letter radio station call letters with condition that first letter…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.