A committee of 5 is to be made from 3 students and 6 teachers. In how many ways can this be done a. if the committee contains exactly two students ? b. if the committee contains at least two students ? c. if the committee contains at most three teacher ?

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: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

Q: In how many ways can you send a message to your 8 teachers informing them that you have submitted…

A: Query- In how many ways can you send a message to your 8 teachers informing them that you have…

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: . A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A: Q c asked and answered.

Q: In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

A: There are 7 available parking spaces and 5 bicycles.

Q: In how many ways can you arrange five books along a shelf, assuming that the order of the books…

A: Given  arrange five books

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

A:

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: Given S = {1,2,5,8,9}, in how many 3 digit numbers can be formed if each number cannot be used more…

A: Here given ,  There are total 5 digits are available . And from given 5 digits make 3 digit number…

Q: from a committee of 10 persons in how many ways can we choose a chairperson, a vice chairperson, and…

A:

Q: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: A woman has 11 close friends. (i) In how many ways can she invite 6 of them to dinner? (ii)  In how…

A: Total number of friends are 11.i Number of ways in which she can invite 6 of them.C611=11!6! 5!…

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

A:

Q: 4-person grievance committee is to be selected out of 2 departments, A and B, with 15 and 25 people.…

A:

Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…

A: Total persons  = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Q: From 6 gentleman and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done,…

A:

Q: A club with ten members is to choose three​ officers: ​ president, vice-president, and​…

A:

Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

A:

Q: Assume that the committee consists of 11 members including Julie. The same three offices are to be…

A:

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: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

A: Note: As per bartleby guidelines for more than one questions asked, only one question with three…

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 ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A: Given, A woman has 11 close friends. To find,  How many ways can she invite 5 of them to dinner if…

Q: In how many ways can 6 bicycles be parked in a row?

A:

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: From a group of 10 men and 12 women, a 10-member committee is formed. In how ways can the committee…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

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: in how many ways can a hand of 5 cards be dealt such that 2 are black and 3 red cards?

A: Given:  There are 52 cards on the deck. There are 26 red and 26 black cards on the deck. Formula…

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

A:

Q: A  commitee of 2 teachers is to be formed in a school such that there is one male and one female…

A: We can pick a female teacher from 12 female teachers in 12 ways.  We can pick a male teacher from 15…

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

Q: Suppose we want to choose 5 objects, without replacement, from 17 distinct objects. (a) If the order…

A: We will the number of ways in both conditions as following.

Q: In how many ways can a person invite 4 out of their 13 closest friends to a dinner party?

A: Here there are 13 friends out of which the person has to invite 4 friends for the dinner party. Here…

Q: A committe of 5 members is to be formed out of 6 gents and 4 ladies. In how many ways this can be…

A: Given: Total Gents = 6 Total Ladies = 4 Required 5 members committee for the at least two ladies

Q: In how many ways can a couple invite 3 out of their 15 closest friends to a dinner party?

A:

Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: A question is given with 3 parts. The solution is given below.

Q: From a group of 7 men and 6 women, five person are to be selected to form a committee so that at…

A: Given, No of men=7 No of women=6 Number of people to be selected in a committee  = 5Minimum number…

Q: Assume that the committee consists of 14 members including Julie. The same three offices are to be…

A:

Q: In how many ways can a committee of 3 be chosen from 7 people

A:

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

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

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: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

Q: (c)        A committee of six is to be formed from nine women and three men. In how many ways can…

A:

Q: in how many ways can a committee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: A committee of 9 students.

Q: A committee of six is to be made from 4 students and 8 teachers. In how many ways can this be done:…

A: Given that  A committee of six is to be made from 4 students and 8 teachers.  To find the In how…

Q: In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play any…

A: GivenNo.of Men(n)=8No.of positions(r)=5