10. From a class with 35 students, 10 students witt be chosen to join the science field trip. In how many ways can the students be chosen?

Q: In a shipment of 10 items where 3 are defective. In how many ways can you receive 4 items where 2…

A:

Q: 1. The Rotary Club and the Jaycess Club had a joint Christmas party. 120 members of the Rotary Club…

A: Venn diagram are used to understand the set of relationship between the two or more sets. It also…

Q: From a group of 7 women and 8 men a committee consisting of 4 men and 3 women is to be formed. How…

A: Given, 7 women and 8 men committee size 4 men and 3 women

Q: In how many ways can 3 students from a class of 15 be chosen for a field trip?

A: Total number of students in a class = 15  Number of students chosen for a field trip = 3 The formula…

Q: How many ways can a course and schools are chosen? ​

A: Courses={Science, Math}  =2 Schools={UP DLSU,ADMU}=2

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

A:

Q: B. In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads be arranged in a…

A: Given: Red beads= 2 Blue Beads = 3 Yellow Beads =2   5). Therefore by circular permutations, since…

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

A:

Q: 8 Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36…

A:

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: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

A:

Q: 1. Haniemay wants to try all the 23 dishes and 6 desserts in offered in PUP lagoon but she is…

A:

Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

A: a. The total number of ways of dividing 10 paintings into 8 boxes so at least one painting in each…

Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: 1. If Peter Piper picks 4 baskets of peppers on day one, 7 baskets on day two, and each day…

A: 1. Given peter Piper picks 4 baskets on day 1, 7 on day 2 and 3 more than the previous day…

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: Out of 32 students in a class 5 said they ride their bike to school. Based on these results how many…

A: Unitary method : It is a method by  first determine the value of single unit and then determine the…

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: 9) From a group of 30 people, a jury of 12 people is selected. In how many different ways can a jury…

A: We use combination formula here to find number of ways to select 12 people out of 30 peoples

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 student is to answer 7 out of 9 questions on a midterm test. i) How many examination selections…

A: i) Given that there are total 9 questions and he has to select 7 questions. So the total number of…

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: 3. If ice cream is served in a cone, in how many ways can Abby choose her three-flavored ice cream…

A:

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: How many times must a jogger run around circular 1/4 - mile track in order to have run 3 1/2 miles ?

A: To find the number of times that a jogger must run

Q: In how many ways can 10 people be seated around a circular table?

A: Permutation of n person sitting in a straight line is given by n! Since for person sitting on…

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: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

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

A:

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: Miss Gray is handling a group of 10 children in a school for special children. In how many different…

A:

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: 9. In how many ways can 4 b sit between two boys?

A: 9)  Given, 4 boys and 4 girls should be seated at a round table Each girl is to sit between 2 boys.…

Q: A committee of size 5 is to be chosen from a group of 6 men and 7 women. (a) How many different…

A: Given that 6 men and 7 women. Total people = 6 + 7 = 13

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

A:

Q: From a club of 16​people, in how many ways can a group of six members be selected to attend a​…

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. 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: 4. Ms. Green must choose three students from her chess club to speak on the Rebel Report. If the…

A: Given that  Total member=8 She choose member=3

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: 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: From a group of 10 physicians, in how many ways can four people be selected to attend a conference…

A:

Q: A survey of 154 persons was conducted at TCC, and it was found that 47 persons carried a cell phone,…

A: Given, number of persons carried cell phone = 47 number of persons carried tablet computer =96…

Q: 2. Forty students in a class took a Mathematics test. If 80% of the students passed the test, how…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

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: a. How many of the students polled had applied to exactly two of the universities? b. How many…

A: The given data is  The sample space contains = 60 students Number of elements in Sample space = n(S)…