In how many different ways can the letters of the word "LEADING" be arranged in such a way that the vowels always come together? a.) 360 b.) 480 c.) 720 d.) 5040

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: te are members, and 10% of the members participate in the survey. What is the obability that the…

A: Here Given  Probability of viewers are site members =P(M)=0.3 Probability that MEMBER is…

Q: (Assume that in a university with 1000 students. 200 students are taking a course in mathematics,…

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Q: the number of permutations of 10 distinct objects taken six at a time is 151? a. b. True False

A:

Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

Q: There are three places P, Q and R such that 3 roads connect P and Q and 4 roads connects Q and R. In…

A: Hi there! Thanks for posting the question. Since there are two different questions, we have solved…

Q: In how many ways can you send a message to your 8 teachers informing them that you have submitted…

A: Query- In how many ways can you send a message to your 8 teachers informing them that you have…

Q: . In how many ways can you arrange all the letters of the word TORONTO  a) that begin with a T? b)…

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Q: Which of the illustrations below corectly shows the assembled house?

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Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: Is (R,#) a poset? If it is a poset, is it a total order? (R is the set of all real numbers)

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Q: In how many ways can you orient the letters in the word "APPLICATION" such that A's don't sit next…

A: consider in 'APPLICATION " two A's sit together . in 'APPLICATION " n(A)=2, n(P)=2 n(L)=1 n(I)=2…

Q: explain these results in APA 7e give as many detail as posible Boxplot-Incongruent Condition 35- 15…

A: From the given output of Boxplot We interpret the outcome.

Q: 2. Use the SSS Similarity Theorem in writing an if-then statement to describe the illustration or in…

A:

Q: Consider selecting two elements, a and , from the set A (a,, c d.e). Lt al possible bts of A using…

A: " Since you have posted a two questions, we will solve first question for you. To get another…

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: siven: ALMN; mLL > m2N rove: MN > TM

A: We have to prove that one side is greater than other side in given triangle.

Q: In how many ways can 10 balls be placed into 4 boxes with no box being empty if: a) the 10 balls…

A:

Q: In a survey regarding Covid-19 check up, 525 persons registered for free check up, 300 persons…

A: Given:  n(A) = Number of people registered for free checkup =525n(B) = Number of people registered…

Q: Assume that the committee consists of 13 members including Bill. The same three offices are to be…

A: Given, Assume that the committee consists of 13 members including Bill. The same three offices are…

Q: (a) In how many different ways can the letters of the word wombat be arranged if the letters wo must…

A: Using permutation we can get the number of ways the letters can be arranged to make words

Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

Q: Show your work and justify. In how many ways can we order a deck of 52 playing cards so that no two…

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Q: How many different 6-letter words can be made a. if the first letter must be B, Y, P, or M and no…

A:

Q: Let A = {raisin, prune, lemon, pear}, B = {lime, cantaloupe, orange}, and C = {lemon, berry, peach,…

A: Given sets are A=raisin, prune, lemon, pearB=lime, cantaloupe, orangeC=lemon, berry, peach,…

Q: d) How many arrangements are there of the letters in the word SASKATOONS?

A: d) The number of arrangements are there letters in the word SASKATOONS is obtained below: There are…

Q: In a meeting, we have  25  people who go to school 30 people who have part time job 45 people…

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Q: (b) In how many different ways can a il-men football team be cho- sen from a squad of 20 men if the…

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Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: n how many distinct ways can the digits in the number 1,243,520,326 be arranged? (If there are any…

A: Given number 1,243,520,326 Total number of digits=10 Number of 1's=1 Number of 2's=3 Number of 3's=2…

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

Q: Consider all 5-letter "words" made from the letters a through h. (Recall, words are just strings of…

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

Q: How many arrangements can you make in a three letter word using the letters from the word "PINGUIN…

A: To find the number of three letters arrangement make from PINGUIN .

Q: The following Venn diagram was created from surveying each student in class. Each student was asked…

A: Let,  I represents the  international students and M represents the married students. From the Venn…

Q: Given the sets A={1,2,3,4,5), B={2,3,7,8}, C=(1,9): (a) Compute C\(AUB) (b) Is it true that (Bn C) C…

A: Given that,

Q: In how many ways can 7 male students be arranged in a row if Hanz and Fitch insist next to each…

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Q: If Aang, Katara, Zuko, Toph, and Sokka sit down in a row, then there are 20 arrangements possible…

A: Given details: If Aang, Katara, Zuko, Toph, and Sokka sit down in a row. To check then there are 20…

Q: Monday Tuesday 8 2 6 7 1 Wednesday

A: Given the given diagram is

Q: Consider the letters in the word COMPUTER. a) In how many ways can these letters be arranged in a…

A: Permutations and combination are 2 methods in mathematics. Combination is used to calculated the…

Q: In the tottens of the word MATH EMATICS are writen, one on each of ll sepawrate Cords. The cards ave…

A: Total number of word in the word MATHEMATICS is 11.

Q: How many strings of six lowercase letters from the En- glish alphabet contain a) the letter a? b)…

A: Total alphabet in English =26 Total number of strings of six lowercase letters from the English…

Q: Prove in any Pythagorean triple (a, b, c) that either a or b is divisible by 3 and one of a, b, c is…

A: A Pythagorean triple is three numbers a,b,c such that a2+b2=c2. Also if a,b,c is a Pythagorean…

Q: B. THERE ARE 23 MEMBERS N THE FITNESo auB AW HOW barEenNG BOARD Of iCECTORS? MAM WAYS B IT PossiBLE…

A: Given Data: The total number of members in the club is: n=23 (A) The number of people selected for…

Q: in how many ways can the numbers 1,2,3,4,5,6,7 be arranged so that  a. 1 and 7 are adjacent? b. 1…

A: a) If 1 and 7 are adjacent then we consider 1,7 as one number.  It can be 17 or 71. 2 ways. When 1,7…

Q: How many arrangements of the word MATHEMATICS have each consonant adjacent to some vowel?

A: A permutation is the arrangement of a certain number of objects. A number of objects can be arranged…

Q: By using seven points, no three of which are collinear, how many different lines are determined?…

A: Given in the question; There are seven points ,no three of which are collinear. To draw a line need…

Q: In drawing 3 CD’s from a lot, defective and non defective CD’s , let A, B , C and D mean at least…

A: let A, B , C and D mean at least one Defective CD, at least one non defective CD, 2 defective CD’s…

Q: How many ways are there to arrange the 26 letters of the alphabet so that no pair of vowels appear…

A: To find number of ways are there to arrange the 26 letters of the alphabet so that no pair of vowels…

Q: the number of permutations of 10 distinct objects taken six at a time is 151? O a. False O b. True

A: we have to identify given statement is true or false.  the number of permutations of 10 distinct…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.