In how many ways can the letters be arranged so that all the vowels come together? Word is “IMPOSSIBLE.” Write out each step and explain what you are doing in each step.

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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Q: How many numbers of four different digits each greater than 5000 can be formed from the digits 1, 2,…

A: Answer - How many numbers of four different digits each greater than 5000 can be formed from the…

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: How many ways can you arrange 6 of 11 different books on a shelf?

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Q: how many ways can you arrange 4 objects from a set of 15 objects?

A: From the provided information, A set contains 15 objects from which 4 objects will be arranged.

Q: (a) How many five-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5.6 and 7, if each…

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Q: How many different​ 4-letter acronyms can be made if the first letter must be E, X, or P and no…

A: Following solution is provided below

Q: How many different ways can six different objects be arranged i

A: Factorial: n!=n*(n-1)*(n-2)*.....*2*1 Given that there are 6 different objects. That is, n=6

Q: In how many ways can a person walk 5 blocks north and 4 blocks west, if the streets are arranged in…

A: A person can walk 5 blocks north and 4 blocks west, if the streets are arranged in a standard…

Q: In choosing what music to play at a charity fund raising event Cory needs to have an equal number of…

A: If an event can be done in n different ways and an other event can be done in m different ways, then…

Q: Four books, one each of Geotechnical Engineering, Algebra, Trigonometry, and Calculus are to be…

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Q: c) List vertically all the ways each number 0-35 can be represented as a sum of two or more…

A: Assume that limiting the numbers to integers. Let's try a few and see if we can find a pattern:…

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

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Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

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Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: How many unique ways can the letters for M-A-X-I-M-U-M be arranged?

A: To find the number of ways that the letters can be arranged.

Q: How many different​ 4-letter acronyms can be made if the first letter must be K, U, or Y and no…

A: How many different 4-letter acronyms can be made if the first letter must be K, U, or Yand no letter…

Q: How many handshakes are required for a group of 15 people to shake everyone's hand?

A: Given information- We have given a group of 15 people. We have to find no. of handshake required to…

Q: a) How many plates are possible when letters and numbers can repeat? Set up the expression that can…

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Q: a) How many 2-digit

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Q: HURONTARIO be arranged

A: Total number of letters=10 Repeated letters:R=repeated twice, i.e, 2O=repeated twice, i.e, 2

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: I used the permutations formula to determine the number of ways the manager of a baseball team can…

A: Combination : Using combination set of n distinct items r number of way selected without…

Q: can you show how you got 625 for k and L? and how did you get them at $375

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Q: ind the pattern when every other Fibonacci number is added, starting with the second. F2=1 F2+F4=1+3…

A: We will use the basic knowledge of Fibonacci numbers to answer this question properly, in detail.

Q: How many distinguishable words, whether they have meaning or not, can be made using all the letters…

A: Given word: Hippopotamus The total number of letters in the word is 12. P repeats 3 times. O repeats…

Q: A student is told to work any 8 out of 15 questions on an exam. In how   many different ways can he…

A: He will pick a group of questions. The arrangement will not matter, so we will use the combination…

Q: in how many ways can the letters MANAGEMENT be arranged?

A: Total number of ways in which a word with n distinct letters can be arranged is n!But we see that…

Q: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7, 7, 8, and 8?

A: To Determine: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7,…

Q: Lab 8 Activity After watching the activities described in the videos, develop a worksheet to check…

A: This is a problem related to your overall observation and focus during the lab videos activities.…

Q: 20) Karrie traveled for 0.75 hours in her motorboat upstream to pick up her order of eighty-four…

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Q: You are preparing the program for a concert. If the band has 10 songs prepared and will play 6 of…

A: band had 10 songs and play 6 of them .  order of song is important.  no. of ways to do programs = ?

Q: In how many ways 7 boys and 6 girls can be arranged on a bench if Anne and Jim sit together?

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