How many ways can all the etters in the word EDUCATION can be arranged if all the vowels are right next to each other.

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

A:

Q: How many different ways can seven people sit in a row in the last four seats at the concert?( the…

A: There is total 7 people and four seats.

Q: t is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is used…

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

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

A: Explanation: Total number of letter in the word "LEADING" = 7 It is given that the vowels should…

Q: A luxury liner has 20 rooms on the upper deck. In how many ways can 5 passengers be assigned to…

A: From the provided information, A luxury liner has 20 rooms on the upper deck. 5 passengers to be…

Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

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Q: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: In the local boating pond there are II plain wooden boats, each with a different number. The owner…

A: In the given equation there is 11 plain  wooden boats  and, 4 boats has been chosen for painting…

Q: A young boy asks his mother to get 5 Game-BoyTM cartridges from h Of 10 arcade and 5 sports games.…

A: Given data, No of arcades=10 No of sport games=5 No of arcades to select is =3 No of sport games to…

Q: There are two copies each of 4 different books. In how many ways can they be arranged on a shelf?

A: GivenTwo copies each of 4 different booksTotal no.of books=2×4=8

Q: How many ways can all the letters in the word EDUCATION can be arranged if all the vowels are right…

A:

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

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

Q: How many ways can all of the letters in the word RHINO be arranged to form five​-letter

A: For the given question, we to find the  ways can all of the letters in the word RHINO be arranged to…

Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the…

A: Total number of ways that the books can be arranged is 5760

Q: In how many ways can you arranged 2 Math books, 3 Science books and 3 English books if only one book…

A: The total number of mathematics books are 2. The total number of science books are 3. The total…

Q: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with…

A: Total Number of students = 10 Number of students with blonde hair = 4 Number of students with black…

Q: How many three-letter "words" can be made from 9 letters FGHIJKLMN'' 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 2 – digit numbers can be formed from the four integers 1, 2, 3, and 4 if repetition is…

A: Given2-digit numbers to be formedNo.of integers =4           (1,2,3,4)

Q: Four digit numbers can be formed from the six digits 2, 3, 5, 6, 7, and 0. If repetitions are not…

A: here given , 4 digit number can be formed from the six digits 2,3,5,6,7 and 0 4 digit number can be…

Q: How many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that…

A:

Q: At a local pizza shop, they are running a "5 topping special." In have many ways can 5 pizza…

A: Given: Number of available toppings, n=14 The objective is to find the number of ways in selecting 5…

Q: Bob owns 15 different books. He wants to pick out and arrange 4 of these books left-to-right on a…

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Q: How many arrangement of 8 letters taken from 5 vowels and 21 consonants can be made if there has to…

A: 21 consonants and 5 vowels. Given condition, 8 letter words using 5 consonants and 3 vowel.…

Q: A quiz consists of 6 true-or-false questions. In how many ways can a student answer the quiz?

A: Given that there are 6 true or false questions. Each question has 2 possible outcomes. That is, true…

Q: There are 6 different English books and 6 different Filipino books. In how many ways can the books…

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Q: How many ways can 8 persons be seated on a chair if there are only 4 chairs available

A: Permutations problem

Q: Ferris wheel has 15 cart seats. In how many possible ways can 15 people arrange themselves in the…

A: solution: The number of ways 15 people can be seated abreast = 15! =1307674368000  This is also the…

Q: In how many ways can a committee of 4 executives be organized from 15 executives.

A: There are 15 executives. We have to make a committee of 4 executive.

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetitions(a) are…

A: To find number of three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5. (a) If…

Q: How many three-letter "words" can be made from 6 letters "FGHIJK" if repetition of letters (a) is…

A: Given 6 letters is "FGHIJK"

Q: How many 3 digit numbers can be formed from the digits 2, 4, 6, 8 and 9 if repetitions are allowed?

A: Solution: From the given information, the digits are 2, 4, 6, 8 and 9.

Q: In how many ways can the digits in the number 7,848,488 be​ arranged?

A: The number is a seven digit number, so we're dealing with seven digits.  If we were working with the…

Q: Customer account "numbers" for a certain company consists of 22 letters followed by 44 single-digit…

A: In general, the number of digits is 10. They are, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Q: How many four digits numbers can be formed from the digits 1 2 3 4 5 6 7 if repetition is not…

A: We have to make four digit numbers without repetition. Here we have 7 digits (1,2,3,4,5,6,7) and we…

Q: a football  tryout From a group of 15 people, a team  of 12 people is selected. In how many…

A: We havevto find no. Of combinations possible.

Q: How many different five-letter passwords can be formed from the letters A, B, C, D, E, F, G and H if…

A:

Q: here are 10 doors to a coliseum. In how many ways can a person go in and out if one can enter any…

A: there are 10 doors  to find the number of ways in which  a person can go in and come out if one can…

Q: How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a.…

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

Q: A mother of 8 wanted to attend a party but only 5 children can be fit in her car. In how many ways…

A:

Q: How many three-digit numbers can be constructed from the digits 0, 3, 4, 5, 6, 8, 9 if: a)…

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

Q: How many different five-letter code words are possible from the first ten letters of the alphabet if…

A: 5 letter codes out of first 10 letter of the alphabet ?if 1st letter can't be a vowel and adj…

Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the…

A:

Q: bookshelf has space for exactly 12 books. In how many ways can the books be arranged on the…

A:

Q: Four couples are to be seated on a row of 8 chairs. In how many ways can it be done so that each…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Your field experience instructor wants to line up 9 cars for transportation to a grade school.…

A: Permutation is used to arrange r numbers from n numbers. Combination is used to select the r numbers…

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ? How many different…

A: Permutation is arrangement of number of objects in definite order. npr=n!n-r!

Q: Determine the number of different 4-book or 5-book purchases can be formed from the 8 different…

A: The number of ways of selecting r things from n non-identical things is given by the expression .…

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

A: The given letters are FGHIJKL are have to find the no of three letterwords can be formed if…