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

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: In certain state, license plates each consist of 3 letters followed by 3 numbers. (a) How many…

A: Since you have asked multiple subparts, we will solve the first three subpart questions for you. If…

Q: 4. Suppose Pat has eight shirts and four pairs of pants. How many different outfits can Pat make by…

A: Every shirt combines with every pair of pants to make an outfit.  Shirt 1 creates an unique outfit…

Q: How many six-person volleyball teams be made from a group of six men and three women if: a. If two…

A:

Q: 3. In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants for Civil Engineers is, n(C1)=7. Number of required for Civil Engineers…

Q: 1/5 of a class study english and 3/5 study math. If the class consists of 80 students, how many…

A: In this question we need to find out how many students study English and math in the class. total…

Q: 2. How many ways can a postman post 3 letters in 5 letter boxes?

A:

Q: 36. In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, 5 Filipinos and 2 Italians be seated in…

A:

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

A:

Q: 10. A tourist group visiting Las Vegas for 5 days would like to stay in 5 different hotels. If the…

A: There are 10 hotels and the people are staying for 5 days so the choice needs to be made of 5 hotels…

Q: 10. In how many ways can you line up 5persons to get on a bus?

A: Given problem Given that   10) In how many ways can you line up 5 persons to get on a bus ?

Q: 6. In how many ways be 5 couples be seated in a round table if each couple consists of a man and a…

A: 6) Given that,  There are 5 couples and they are to be seated in a round table such that each couple…

Q: If 5 out of 7 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: Your international diplomacy trip requires stops in Thailand, Singapore, Hong Kong, Laos, and Bali.…

A: Given information Trips are Thailand, Singapore, Hong Kong, Laos and Bali Total places = 5 Last stop…

Q: A group of 100 people touring Europe includes 43 people who speak French, 50 who speak Italian, and.…

A: Given,           A group of 100 people touring Europe includes 43 people who speak French, 50 who…

Q: How many six-person volleyball teams be made from a group of ten men and three women if: a.There is…

A:

Q: 1. How many different license plates are possible using 3 letters followed by 3 digits? digits and…

A:

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: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

Q: 11. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question (i.e. #11) for…

Q: 3. In how many different ways can the letters of the word 'COMPUTER’ be arranged?

A: Solution (1)

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: In how many ways can 3 student, 4 teachers and 4 workers sit in a line if the teachers always set…

A:

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

A:

Q: In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants to be chosen from 7 applicants are 2. Number of applicants to be chosen…

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 a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: 3) A board of directors composed of eight people must select board officers. In how many ways can a…

A: Given that n =8,r =3 using permutations

Q: 1. In how many ways can a committee consisting of 3 men and 2 women be chosen from 7 men and 5…

A:

Q: In how many ways can three taxi drivers be assigned to nine cars?

A: The number of taxi drivers is 3 and the number of cars is 9.

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: In how many ways can a Riders Org. chapter with 30 directors choose a president, a vice president, a…

A:

Q: 3. There are 5 doors in a Lecture Hall. In how many ways a student can enter the room through one…

A: Total number of doors in the lecture hall=5

Q: A senate committee has six LP members and three UNA members. In how many ways can they be seated…

A: Given: 6 LP members 3 UNA members. Total = 9 members

Q: 2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated together?

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

Q: 5a. In a club consisting of 15 members, how many different ways can a 4-person committee where…

A: Determine the number of ways that a 4-person committee where everyone is considered equal. The…

Q: 10 students should be accomodated in two 3-bed and two 2-bed rooms. In how many ways can they be…

A:

Q: 26. A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to…

A:

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students  Now Assume that there is 365 Days in one year

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

A:

Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: (3) In how many ways can 5 boys and 2 girls sit in a row if just the girls are to sit together?

A: Permutation is a method in mathematics that is used to find the number of ways in which certain…

Q: 2. In how many ways can three singers and four dancers be chosen to make a team if there are seven…

A: We have to find in how many ways three singers and fours dancers be chosen to make a team if there…

Q: 43% of the students in a school are boys. If there are 399 girls in the school, what is the entire…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: 6) The ski club with twelve members is to choose three officers captain, co-captain & secretary, how…

A: To find the number of ways

Q: 2. A plate number is made up two consonants followed by How many plate numbers are possible. a. if…

A: A plate number is made by two consonants, three non-zero digits and vowel.

Q: If a club consists of 15 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

A: