Examplel7. How many different ways can be the letters of the word VOWEL be arranged? (i) How many of these arrangements begin with w? (ii) How many of these arrangements, in which the letters O, E occupy even places? (iii) How many of these arrangements which begin with V and end with L.? (iv) In how many arrangements A and E are together?

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

A:

Q: How many choices are there for a person to check out 4 CDs from a library that has 25 CDs of his…

A: Given : n = 25 x = 4

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: uppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (a)…

A: It is given that 5 letters A, B, C, D and E.

Q: In an ice hockey game, a tie at the end of one overtime period leads to a "shootout" with three…

A: no. of ways to select 3 players from 5 eligible players = ?out of those 3 selected no. of ways to…

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: In how many ways can you arrange the letters of the word "MATHEMATICS" such that the vowels (A, E,…

A: The word "MATHEMATICS" has 11 letters in total: M, A, T, H, E, M, A, T, I, C, and S.Among them, the…

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (ii) Number of…

A: (d) (ii) It is been asked to find the number of possible arrangement of all letters in word…

Q: (b) All the letters of the word COMBINATION are to be arranged in a row. i. Find the number of…

A:

Q: How many arrangements of the letters the word BEAUTIFUL are possible if the arrangement always begin…

A: Given:  How many arrangements of the letters the word BEAUTIFUL are possible if the arrangement…

Q: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

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: Possible grades for a class are A,B,C,D,F, and G. A. how many ways are there to assign grades to a…

A: There are total 6 grades in A,B,C,D,F and G.  So each student can get a grade in 6 ways.  So total…

Q: many are odd? (d) how many are uunupres - In how many ways can a party of 7 persons arrange…

A: Given that there are 3 boys and 2 girls. There are a total of 5 people.(a) Since, there is no…

Q: How many arrangements of letters in INSTRUCTOR have all of the following properties simultaneously?…

A: Solution: Given that the vowels appear in alphbetical order. Vowels are A E I O U Further it is…

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

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Q: ch elf wears a different color (green, yellow, blue, red, or orange) and each builds a different…

A: This becomes a standard logic puzzle once you figure out what the number of toys are.We know that we…

Q: How many di erent arrangements are there of the letters A, B, C, D, E, and F for which E is not the…

A: Here total 6 letter are available. Letters are A , B , C , D, E, F .here use counting principle. n!…