4) 25 people with different names (Eva, Ali, Bertil, Kim,....) will be divided into 5 unnumbered (non-empty) groups. How many ways can this be done if Eva is not allowed to be in the same group as Ali, Berit or Kim?

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: A new line of pens comes in 9 color options and 9 possible tips (fine, medium, etc.). How many…

A: See the detailed solution below.

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: There are 5 third year and 4 fourth year ECE students qualified to join a contest. In the group…

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

Q: the students can all be seated together if they sit in a round table. 2) The students decided to…

A: Given, total 12 students, 4- German 6 - British 2 - Asian

Q: included in every selection? 7. How many permutations can be made from the letters in the words a)…

A:

Q: I have 8 different rings that I wear. How many different groups of 3 rings do I have to choose from?

A: the question is choosing 3 out of 8 and order doesn't matter So we going to use combination a…

Q: 14. A box with 12 articles contains one that is defective. In how many ways can Martin select 5…

A: The following information has been given: The total number of articles =12. The number of defective…

Q: 8. In how many ways can 12 people be divided into three identical groups of four? 9. In how many…

A: The objective of this question is to find out the number of ways 12 people can be divided into three…

Q: 90 people, can there be at least 2 who have the same first digit of a cell number and the same last…

A: The number of people = 90  The phone number consists of 7 digits A phone number should not start…

Q: word is made from the following nine letters (m,a,t,h,i,s,f,u,n). How many different four letter…

A:

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

Q: ifferent ways can the letters

A: To find :  To find different ways can the letters of the word 'JUDGE' be arranged such that the…

Q: 1. In how many ways can a committee of 4 be selected from a group of 10 persons if two

A:

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , ALL ARE TOTALLY DIFFERENT YOU HAVE…

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no two donuts…

A:

Q: 7. There are 12 people in class. How many ways can we line up to leave? (а) 144 ways (b) 1320 ways…

A:

Q: 11) A board of directors needs to assign a chair, vice chair, treasurer, secretary and…

A:

Q: A 4-letter list is made from the letters L, I, S, T, E, D according to the following rule:…

A: This question can be solved using the concept of set theory and using the concept of arrangements.

Q: How many ways are there to select a set of 4 U.S. s

A: A combination is a mathematical technique that determines the number of possible arrangements in a…

Q: There are 20 total members in a club. 15 are on team blue, 5 are on team red. How many distinct…

A: It is given that there are totally 20 members in a club in which 15 are on team blue, 5 are on team…

Q: 3. There are 8 students running for 5 different leadership positions (ie President, VP,). How many…

A:

Q: How many ways are there to line up 7 people (including Aang and Korra) if Aang and Korra must be…

A: The permutation is defined as the mathematical calculation of the number of ways a particular set…

Q: n how many ways can SISIPI be arrange?

A: In the given question, the concept of Permutation and Combination is applied. Permutation and…

Q: 16. Apoker hand consists of 5 cards from a standard deck of 52 cards. Find the number of two of a…

A: There are total 13 denominations. {J,K,Q,A,2,3,4,5,6,7,8,9,10}.Each denomination has 4 cards.We can…

Q: 5. In how many ways can 3 narra, 4 pine, and 2 Apple trees be arranged along a property line if one…

A: The no.of narra trees is, n1=3 The no.of pine trees is, n2=4 The no.of Apple trees is, n3=2 The…

Q: 6. I I have to invite 7 out of my 14 friends to a party. In how many ways can I do that if a. Both…

A:

Q: 6) There are 26 letters in the English alphabet. How many ways can you arrange any three OR five…

A: Given,no.of letters =26

Q: 6. In how many ways can 3 men be selected from 10 men if one of them ! included in every selection?…

A: 6) Given, Total available men = 10 We need to select 3 men out of 10 men

Q: 9. In how many ways can 4 b sit between two boys?

A: 9)  Given, 4 boys and 4 girls should be seated at a round table Each girl is to sit between 2 boys.…

Q: If the marks of a group of 10 female students in an assignment are as follows:            11, 15,…

A: Here we will be using the coefficient of variation to determine which group is more homogenous. The…

Q: 11. If there are 90 people, can there be at least 2 who have the same first digit of a cell number…

A: given , 90 people  we have to find can there be at least 2 people whose first and last digit of cell…