38. There are 10 math teachers in the math department. How many ways can one or more of them be invited to dinner?

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: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

A:

Q: 2. In how many ways can 9 persons be seated in a round table with 9 chairs? 3. In how many ways can…

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

Q: From 10 statisticians and 7 economists, a committee of size 6 is to be formed. How many different…

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: 4. If your bag has 60 Smarties, and 30% of the Smarties are purple, how many purple Smarties do you…

A: Since you have asked multiple questions in single request so we will be answering only first…

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

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: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: 20. The ski club with ten members is to choose three officers: captain, co-captain, and secretary.…

A: There are 10 members in the ski club. Three officers are to be chosen. Captain, co-captain, and…

Q: From a list of 40 teachers, 5 are to be promoted to subject area coordinator. In how many ways can…

A: Given: n=40 and r=5.

Q: In a school with 92 students, 47 live with their biological father and 68 like with their biological…

A: Let S= total students  F= who lives with biological father M=who lives with biological mother Given…

Q: How many ways may 5 students be elected from a club with 45 members?

A: Total number of students = 45 Number of students to be selected = 5

Q: The Chess Club has 15 members. The club wants to elect a president, vice president, secretary, and…

A:

Q: 22, number of ways for six.nurses.to sit around a circular table is * 720 6 O 120 O 5 23. If X-b(10,…

A: Given: Total number of nurses = 6

Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

A: Given : No. of statisticians = 5 No. of economist = 6 Total no. of persons = 5+6=11 Sample size (n)…

Q: In how many ways can you sit 8 people on a round table (a) if there are no restrictions? (b) if two…

A: Given: Total number people = 8

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: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: b. The FIFA World Cup 2018 in Russia consists of 32 teams. How many ways for the top 3 teams exist?

A:

Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

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: 1. Yana wants to travel and visit caves in the Philippines. However, because of tight budget, she…

A: Note : As per Bartleby's guideline for more than one questions only first is to be answered please…

Q: 1. How many students like either Realistic Fiction, Mystery or both? 2. How many children like all 3…

A: Hi, Thank you for the Question. Since you have posted multiple questions we will answer the first…

Q: A classroom has 8 vacant chairs, 3 in the front row and 5 in the back row. In how many ways can 5…

A: Let us assume there are three students A, B and C sitting beside each other. The different ways in…

Q: 41 children need to be assigned to five Tee ball teams. The league wants each team to have 8…

A: Given that, 41 children need to be assigned to five Tee-ball teams. In order to assign all the…

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: In how many different ways can the director of a research laboratory choose two chemists from among…

A: Solution: Given information: Chemists applicants = 11  Physicists applicants = 7   To choose 2…

Q: 4. How many ways can 10 different action figures or toy soldiers be arranged on a shelf?

A:

Q: 2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages…

A:

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: 2) Abby is adopting kittens from the pet store. If there are 18 kittens, how many ways can she…

A: In this question we have to find in how many Abby choose two kittens if there are two kitten .

Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…

A:

Q: (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men?…

A: here total 8 men and 7 women that is 15 employees in office committee of 4 member has to be formed…

Q: 5 If you have a party for 70 people and your require 8 Ibs. of baby spinach for salads to feed them…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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: (i) How many ways are there to seat five different boys and five different girls along one side of a…

A: There are 10 seats in total. There are 5 boys and 5 girls to be seated. There is no restriction on…

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

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

A:

Q: In how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about…

A:

Q: 14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…

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: 21. There are 12 standbys who hope to get on a flight to Hawaii, but only 6 seats are available. How…

A:

Q: In how many ways can we choose 5 students from 7 boys and 5 girls?

A:

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: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

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.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.