Question 2 How many way can a committee of five that can be formed from six IT students and eight CS students if three are CS students are to be selec O A. 840 O B. 1,440 O C. 10,080 O D.2,520

Q: 1. Calculate the following: (a) P(8, 3) (b) C(7, 3) 2. You have 10 books in the shelf, 4 are…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Three research departments have 7, 10, and 6  members, respectively. Each department is to select a…

A: Answer:- Given, 3 research departments have 7, 10 and 6 members, respectively.  From each department…

Q: 2. In a group of 45 students, 23 take history, 18 take biology and 10 take both history and biology.…

A: Given :  Total number of students = 45 Number of students taking history = 23 Number of students…

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: a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?…

A: Here use combination An Engineers Association has a couple of vacant positions and there are a total…

Q: How many different ways can 7 students consisting of 4 boys and 3 girls sit in a row if ; a. They…

A: Represent the 7 seats in 7 blocks where each a boy or girl can be seated in each block.  Fill each…

Q: Three research departments have 8, 7, and 6 members, respectively. Each department is to select a…

A:

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: In how many ways can a committee of three men and two women from eight men and six women

A: given data  make committee of 3 men and 2 womens from 8 mens and 6 womens.

Q: Three research department have 8,6,and 10 members , 4 respectively. Each department is to select a…

A: Three research department have 8,6, and 10 members, respectively.

Q: 4. There are 256 children in the juniors. a) Half have sandwiches, how many have school dinners? b)…

A:

Q: departments have 10, 8 and 7 members, respectively. Each department is to

A: We have to find the total ways.

Q: (a) by any door, (b)  by different door?

A: Here use combination  for no of ways person can leave and enter from desk

Q: 8. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10…

A: Sol:- Given No. of men = 8 No. of women = 10

Q: You must make a committee of 5 from a group of 20 people, 12 women and 8 men. a. How many ways can…

A: As per our guidelines we are supposed to answer only three subparts kindly post the remaining…

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be…

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that…

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: The average salary of 12 male employees is 550 JD and the average salary of 8 female employees is…

A:

Q: A company has two departments. Department A has 10 individuals and Department B has 10 individuals.…

A: Department A and B has 10 individuals each.

Q: 4. Using the letters from the word CUSHI O N: How many 5 letter arrangements are possible? Express…

A: Use formula of combination, selecting n objects from m can be expressed as: Cnm=m!n!(m-n)!

Q: A committee of size 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A:

Q: How many ways can 12 people line up if Joey and Sally must be next to each other?

A: here given group of 12 people arrange in raw   and arrange around round table

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

Q: 8. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10…

A: See next step for answer

Q: 3. The environment club is electing a president, vice president, and treasurer. How many different…

A: Here, we have to choose 3 person out of 12, thus this is a combination question So, the answer is =…

Q: The Student Council at a certain school has 11 members. Out of those members, a committee consisting…

A: Given information: The student council at a certain school has 11 members. From the 11 members, a…

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Number of ways of selecting 6 people of committee  from the group of 20 people will be:

Q: 1. Martha has 4 different colored pens in her bag. After she uses a pen she just throws it back into…

A:

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

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

Q: 2. The following ingredients to make a sandwich are in a refrigerator: turkey, cheese, tomato,…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Sri and her father are piling logs at their backyard. The first layer has 15 logs, the fifth layer…

A: Given Data: Number of logs in the first layer a1=15 Number of logs in the first layer a5=7 Total…