In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group? We do not have distinct groups. So it is only important how the people are grouped together.

Q: |In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 9…

A: Combination is the arrangement of data without any order. It can arrange data from the sample from…

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: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: 1. How many three person committees can be chosen from a group of six people? 2. Dylan, Andrew,…

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: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

Q: In how many ways can a hostess select 6 luncheon guests from 10 women, if she is to avoid having a…

A:

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: There are N employees at a new company, and they are forming a union. How many ways are there to…

A:

Q: From a group of 40 people( 30 women and 10 men) A jury of 12 people is selected. In how many…

A:

Q: In how many ways can 3 Americans, 4 Frenchman, 4 Danes and 2 Italians be seated in a row of 13 seats…

A:

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

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

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Q: how many ways can Dr. Yes invite 8 of his friends if he has to invite at most 4 at a time?

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 ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: A clothing store has 13 shirts in 4 sizes: small, medium, large, and extra-large for sale. If it has…

A: Number of ways of selling two small shirts is 2! = 2 Number of ways of selling three medium shirts…

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

A: GivenNo.of juniors = 5No.of seniors = 7Total no.of seniors and juniors=12

Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A:

Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5…

A:

Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pieces of slacks, and…

A: Different ways can  5 out of 8 different shirts, 4 out of 10 different pieces of slacks, and 3 out…

Q: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with…

A: Total Number of students = 10 Number of students with blonde hair = 4 Number of students with black…

Q: Ten prizes are to be given to 10 different people in a group of 16. In how many ways can a first…

A: Given that there are 10 prizes and 16 people.  So the first prize can be given to any of the 16…

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

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: In how many ways can a committee of two men and three women be formed from a group of eight men and…

A:

Q: In how many ways is it possible to elect a president, a vice-president, and a secretary (in that…

A: The total number of members in the club is: n=20 From the given club a president, a vice-president,,…

Q: A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done…

A: Given a committee of 5 persons is to be formed from 6 men and 4 women

Q: Ten people split up into five groups of two each.  In how many ways can this be done?

A: The number of combinations of r items from a group of n items where the order is not important is…

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

A: Solution: Given information: n= 12 Total number of people.  There are 3 groups each group has 4…

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: In how many ways can a committee of five men and four women be formed from a group of ten men and…

A: ,Of the 9 women available, we must choose 4. The number of possible is

Q: In how many ways can we seat 7 people at a round table with a certain 3 people side by side?

A:

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: In how many way, can a manager arrange 16 employees into 8 groups

A: Combination is a collection of the objects where the order does not matter

Q: In how many different ways can we select a committee consisting of 4 engineers 3 chemists, and 2…

A: Given Information: To find out the number of different ways we can select a committee consisting of…

Q: In how many ways could 16 people be divided into five groups containing respectively 4,2,3,6 and 1…

A: There are totally 16 people in which divided into five groups containing respectively 4,2,3,6 and 1…

Q: In how many ways can 3 blue books and 4 red books be arranged on a shelf if a red book must be on…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: In how many way, can a manager arrange 15 employees into 3 groups

A: Number of ways = 15C3

Q: In how many ways can five pictures be selected from a group of nine different pictures?

A:

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 a selection of 3 men and 2 women can be made from a group of 5 men and 5 women…

A: First find in how many ways can women and men be chosen.

Q: In how many ways can a committee of two men and three women be formed from a group of nine men and…

A: In how many ways can a committee of two men and three women be formed from a group of nine men and…

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 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 a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

Q: In how many ways can a committee of two men and three women be formed from a group of eleven men and…

A: Combinations are selections made by taking some or all of a number of objects, irrespective of their…