51. a. In a drama class, 5 students are to be selected from 24 students to perform a synchronized dance. In how many ways can 5 students be selected from the 24? (See Example 7) b. Determine the number of ways that 5 students can be selected from the class of 24 to play 5 different roles in a short play.

Q: 3) Suppose the math club as 14 members. How many ways can they select a president, a vice president,…

A: Combination is used when the problem is related to selection only and the sequence of selection or…

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings? Your answer is:

A:

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

Q: 3. a) How many ways are there to select three math help websites from a list that contains six…

A: Given that: a. 3 math help websites from 6 different sitesb. 3 cars and 4 trucks from 8 cars and 11…

Q: 4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's…

A: 4. Answer: In 38760 ways can he select 6 of them for today's menu out of 20.

Q: 3) In how many ways can three bracelets be selected from a box of ten bracelets?

A:

Q: 1. A librarian noticed that 60% of seventh graders checked out fantasy books. About how many of 240…

A: Solution

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

A:

Q: In how many ways can a president, vice president, secretary, and a treasurer b selected from club…

A:

Q: A survey of 800 households revealed that 300 had only a TV, 200 had only a computer, and 100 had…

A: Given that, A survey of 800 household revealed that, 300 had only a computer and 100 had neither a…

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: 18. A woman has 10 close friends. Find the number of ways in which she can invite 4 of them to…

A: Given data: The total numbers of friends are n=10. The numbers of friend invite to dinner are r=4.…

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 can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

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: In a middle school class, there are 7 students. A) In how many ways can all 7 students be arranged…

A: Given data: The total numbers of students are n=7. A) The expression for the number of ways of…

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: 2. In how many ways can you arranged the word SLEEPLESSNESS?

A: Given: SLEEPLESSNESS we want to find how many ways can you arranged the word SLEEPLESSNESS

Q: 3) A crew is made up of 8 men; the rest are women. 66– % of the crew are men, How many people are,…

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: 5) You have been asked to judge an art contest with 15 entries. In how many ways can you assign 1st…

A:

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: 11. In a contest of 51 people we need to have a first place, a second place, a third place and a…

A: Given, number of peoples in the contest = 51 To find the number of ways 51 peoples got first,…

Q: 5. An electronic company employed 6 sales representatives and 9 product designers this year in a…

A: We have to find given all no of ways...

Q: 4. A Graduation Committee consists of n students and 6 teachers. If there are 420 ways to select two…

A: It is given that  Number of students = n Number of teachers = 6 The number of ways to select 2…

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

A:

Q: 15. A scientist wants to determine the number of alligators in a Louisiana bayou. To do this, the…

A: Sample proportion (p^)=Number of successes in the sample (x)Total sample size (n)Population…

Q: In how many ways can a town elect 6 candidates to a planning board from a field of 13 candidates?…

A: Given,total no.of candidates=13

Q: In how many ways can 5 people line up to pay their electricity bills if two particular persons…

A: Numbers of way they can line up if two particular persons refuse to follow each other = Total…

Q: 8. The captain of a baseball team assigns himself to the 6th place in the batting order. In how many…

A: When you arranging elements (r) from orders list (n), Permutation is a matter of orders while, the…

Q: 1) How many ways can 5 kids divide themselves into groups of two? 2) How about groups of three? 3)…

A:

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

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

A:

Q: 8) In a track meet, ten runners compete for first, second, and third place. How many different ways…

A: Correct answer is =  3! * 103 = 6 * 10*9*83*2*1 = 720

Q: Suppose that a drama class has 22 students. a. In how many ways can four students be selected to…

A: a) We will select a group of 4 students from 22 students. So arrangement is not required. That means…

Q: How many ways can a​ president, ​vice-​president, and secretary be chosen from a club with 11…

A:

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

A:

Q: Ten members of a wedding party are lining up in a row for a photograph. (a) How many ways are there…

A: (a) Compute the number of ways to line up ten people as follows. It is known that the number of ways…

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: 4. How many ways we can choose champion, first runner -up and 2 runner-up out of 20 participants?

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

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: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

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: 3. How many ways can 7 cards be chosen from a standard deck of 52 cards?

A: In the given problem, we have 52 cards. We have to find the number of ways for which we can choose 7…

Q: 13. How many license plates consisting of two letters followed by two number repetition is allowed?

A: To find: the number of number plates.

Q: (7) A. How many ways can 7 people line up in a cafeteria line? B. How many ways can five people be…

A:

Q: In how many ways can 3 students be selected from a group of 12 students to represent a university in…

A: Given data: Total students = 12 3 students  selected  randomly To find: In how many ways can 3…