In how many ways can 6 copies of history books, 4 copies of accounting book, and 2 pieces of algebra books can be rearrange in a shelf

Q: In how many ways can 6 girls and 3 boys sit on a row of 9 chairs in such a way that no two boys sit…

A: we have to solve given problems:

Q: How many 4 digit numbers can be formed by the use of digits 1, 2, 3, 4, 6 and 7 if one digits is…

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Q: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

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Q: In how many ways can we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: In how many ways can a committee men be formed from 8 people?

A: GIvenNo.of people(n) = 8

Q: In how many ways can 6 boys and 6 girls be seated around a circular table if all the no girls are…

A:

Q: In how many ways can 12 students be partitioned into 3 teams so that each team has 4 members.

A:

Q: In how many ways can 10 distinct books be divided among three students if the first student gets…

A: Solution: From the given information, there are 10 distinct books divided among 3 students. First…

Q: How many 4-digit numbers can be formed from 1,2,3,4 and 5 if repetitions are not allowed and it is…

A: Solution

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: In how many ways can 3 mathematics books, 5 science books, and 2 language books be arranged in a…

A:

Q: In how many ways can you arrange 5 distinct maths books, 4 distinct computing books and 3 distinct…

A: Given  5 distinct maths book, 4 distinct computing books and 3 distinct physics book

Q: In how many different ways can four pennies, three nickels, two dimes and three quarters be arranged…

A: Pennies =4  Nickels = 3 dimes= 2 quarters = 3 The objects are 4 pennies, 3 nickels, 2 dimes and 3…

Q: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

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

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Q: In how many ways can 9 books be arranged on a shelf if 5 particular books must always stand…

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Q: 9. There is a file of 30 soft drink cans in the first bottom row, 29 on the second row, and so on.…

A: Formula:  Sum of first n natural numbers is  1+2+3+....+n= n(n+1)/2. Here total number of cans is  =…

Q: In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group?…

A:

Q: In how many ways can 3 student, 4 teachers and 4 workers sit in a line if the teachers always set…

A:

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: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

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

A:

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: Answer the following question about the standard English alphabet of 26 letters: 1. How many…

A: Given: Total number of letters in alphabet is, N=26. Number of vowels in alphabet is, n(v)=5. The…

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

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

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question We have given…

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 numbers of 5 different digits can be made from the digit 1,2,3,...9? 2. How many numbers…

A:

Q: 11. In how many ways can 2 children and 5 adults be seated in a row if the children must be seated…

A: Given: 5 Adults and 2 childrens To find :…

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: 1) How many different words (including nonsense words) can you make by rearranging the letters of…

A: The given word is EFFERVESCENCE. Total number of letters = 13 In the given word, letter E is…

Q: How many 8-digit telephone numbers are possible if the first digit cannot be zero and no repetitions…

A:

Q: In how many ways can 4 CS students and 5 IT students sit in a row if the CS and IT students must…

A:

Q: 2. If a license plate consist of 3 letters followed by 3 digits, how many license plates are…

A: Here the repetition of letters and numbers are allowed.

Q: 2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated together?

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

Q: In how many ways can three committees of 8 persons be formed from 44 persons if the chosen persons…

A: The number of ways to select  r different objects from n different objects, can be given as, Crn…

Q: How many 4 digit numbers can be formed by the use of digits 1,2,3,4,6,7 if one digit is used only…

A: Givenno of digits to be used is 1,2,3,4,6,7No.of digits = 6

Q: In how many ways can 9 individual be seated in a row of 9 chairs

A: 9 individuals are needed to be seated in a row of 9 chairs.

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 three-digit numbers can be formed using the digits 2,3,4,5,6,and 8, if the number is to be…

A: Given:  The provided digits are 2, 3, 4, 5, 6, and 8. The repetition of digits is not allowed. For a…

Q: (3) In how many ways can 5 boys and 2 girls sit in a row if just the girls are to sit together?

A: Permutation is a method in mathematics that is used to find the number of ways in which certain…

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: How many ways are there to divide a red bracelet, a yellow bracelet, a green bracelet, and a black…

A: It is given that there is 4 different coloured bracelets, a red, a yellow ,a green and a black and 4…

Q: In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of…

A:

Q: in how many ways can 2 children and 5 adults be seated in a row if the children must be seated at…

A: Given that there are 2 children and 5 adults.

Q: IN HOW MANY WAYS CAN 5 MATH BOOKS AND 3 ART BOOKS CAN BEARRANGED IN A ROW, IF NO TWO ART BOOKS WILL…

A: We can first place the 5 math books in 5!= 120 ways. When they are placed. Then we have 6 gaps…

Q: In how many ways can 4 AIRFORCE and 5 ARMIES be seated on a bench if the ARMIES must  be seated…

A:

Q: in how many ways could 17 people be divided into five groups containing respectively 1 2 5 6 and 3…

A: The total number of people is 17.

Q: In how many ways can 12 books be divided among 4 students so that each student receive three books?

A: Given that : Total books (n) = 12 Divided among 4 student and each student get books = 12/ 4  = 3 So…

Q: How many different ways can 6 identical hardback books, 3 identical paoerback books, and 3 identical…

A: Given that there 6 identical hardback books, 3 identical paperback books and 3 identical boxed…