How many groups can be made from the word ''house'' if each group consists of 4 alphabets?

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from…

A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those…

Q: How many 3 letter words can be made from 10 letters “FGHIJKLMNO” if repetition of letters (b) is…

A: letter words can be made from letters :"FGHIJKLMNO”

Q: Evaluate  52C5

A: The given expression can be evaluated by using the combination formula:

Q: how many length twenty strings of a's, b's, and c's have ten a's, six b's, and four c's

A: 20!10!×6!×4! in which 20 is used for total string length.  10 for a's and   6 for b's , 4 for c's

Q: How many different committees of 6 can be selected from 12 seniors and 20 juniors if the committee…

A: Given: Number of seniors (s)=12number of juniors (j)=20number of committee members(n)=6

Q: How many different passwords are possible? If a cell phone’s password consists of eight characters,…

A: Given that cell phone's password consists of eight characters. first character is 6. The number of…

Q: How many ways can 6 ladies be seated in a circular table such that 2 of the ladies must always sit…

A: To find: The number of ways to arrange 6 ladies in a circular table such that 2 of the ladies must…

Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…

A:

Q: How many ways can we assign 124 students to 4 sections in such a way that Section 1 must have at…

A: Given: There are 124 students and 4 sections Section 1 must have at least 30 students, section 2…

Q: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

A: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

Q: in how many ways can 5 starting positions on a basketball team be filled with 12 men who can play…

A:

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: Find the probability that an observation taken from a standardnormal population will be more than…

A: From the provided information, The observation is taken from a standard normal population. Mean for…

Q: How many 15 letter strings containing only a's, b's, and c's have 6 a's and 4 b's?

A: Given: 15 letter strings containing only a's, b's and c's

Q: How many 5- digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,9, if repetitions of…

A: Givendigits = 0,1,2,3,4,5,6,7,8,9No.of digits =10

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

A:

Q: How many 7 letter words can be made from the letters WASTFUL if repetition of letters is allowed?

A:

Q: To determine whether car ownership affects a student's academic achievement, random samples of 100…

A: It is assumed that the population variances are not equal.

Q: I need to create a password for my bank account. I would choose each of the first 5 characters of…

A: Here we solve the number of possible way to make a password...

Q: How many different three-number “combinations” are possible on a combination lock having 46 numbers…

A: Given,A lock having 46 numbers on its dial.

Q: How many 10 digit phone numbers, Area code + number (***)***-****, are possible if the second digit…

A: Total 10 digit number are possible are, the first digit can not be '0' so it has '9'…

Q: if a "word" is any arrangement of 3 different letters, how many 3 letter "words" can be formed from…

A: Given  if a "word" is any arrangement of 3 different letters, how many 3 letter "words" can be…

Q: there to select 11 countries in the United Nations to s e selected from the remaining 62 countries?

A: To find: Number of ways to select 11 countries in the united nation to serve on council.

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: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…

Q: How many ways can 4 stuffed animals be arranged on a shelf if they are to be chosen from 7…

A: Given There are total 7 different stuffed animals. We have to find number of ways for arranged 4…