Five students were chosen from a class of 20 to answer a survey. In how many ways can this be done? In how many ways can a committee of 5 consisting of 3 girls and 2 boys be chosen from a class with 9 girls and 6 boys? There are 10 defective light bulbs in a bin containing 20 light bulbs. In how many ways can you select at most 2 defective light bulbs when you choose 10 light bulbs at random? SOLVE THE FF:

Q: A group of 10 friends go to a movie theater to see a newly released film. The friends consist of…

A: As per the given information 5 married couples are there and each couple must sit together Possible…

Q: Anne and her siblings are planning to throw surprise party for their parents' 50th wedding…

A:

Q: Suppose thirty-six students signed up for class orientation sessions. If exactly twenty-two of them…

A: Given that, there are 36 students signed up for class orientation session. Number of students signed…

Q: An appetizer platter has a selection of 88 different appetizers. Mario plans to choose 3.3. How…

A: Number  of different appetizers = 88Mario plans to choose = 3

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: In the garden, there are 12 tomato plants. Each plant contains seven (7) branches, with four (4)…

A:

Q: In senior two class 30 students eat Matooke only 25% of students eat posho and 35% of the students…

A:

Q: How many teams of at least 5 students and at most 7 students can be chosen from 15 students? Your…

A:

Q: A student is to answer 12 out of 15 questions on an exam. How many choices does he have?

A: The total number of questions in the exam is 15. The student has to answer 12 out of 15 questions.…

Q: A class has 32 students.  18 have hats, and 17 do not wear glasses.  5 students wear glasses but do…

A: We use ven diagram to solve this problem.

Q: Solve each problem completely. 1. How many committees can be formed with 3 male and 4 female from 5…

A: The Permutation is the method that used to understand the number of possible arrangements with order…

Q: Scott has a bag of candies. 2/5 of the candies are red. 3/10 of the candies are green. If there are…

A: Given , In a bag Total Red Candies=12 2/5 of candies are red. And 3/10 of candies are green. We have…

Q: The math club needs to select a president, Vice President, treasurer and secretary from 21 members.…

A: There are 21 members and we have to select President, Vice President, Treasurer and Secretary. We…

Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: Francis wants to donate his 15 books to his three friends. If he gives 7 books to one of his friend,…

A: You have 15 books. 7 to one friend 5 to other friend  And 3 to third friend.  No. Of ways to do this…

Q: A professor has 180 students in her classes at the beginning of the semester, but 18 students…

A: At the beginning of the semester the professor has 180 students in her classes. But 18 students…

Q: A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to…

A: There are 3 different lots L1,L2,L3 Total spaces=21 (out of 21 6 are closed for renovation) total…

Q: Mr Han bought some pens. He gave 225 pens to Class 3A and 132 pens to 1 Class 3B. He gave of the…

A: Given that Mr. Han bought some pens . He gave 225 pens to class 3A and 132 pens to class 3B.He gave…

Q: An ice cream store has 31 flavors to select from.  A customer wants to select two different flavors.…

A:

Q: A team of 17 softball players needs to choose three players to refill the water cooler. What type of…

A: A team of 17 softball players needs to choose three players to refill the water cooler. we have to…

Q: Solve the problem. There are 8 members on a board of directors. If they must form a subcommittee of…

A: Given There are 8 members on board of directors  Subcommittee of 3 members

Q: Ben is studying sculpting, and he was asked to submit 8 sculptures from his collection to exhibit at…

A: The objective of this question is to find out the number of ways Ben can choose 8 sculptures out of…

Q: 4. Find the minimum number of students in a class to be sure that three of them are born in the same…

A: We have to apply the pigeon hole principle to solve this problem.

Q: n a survey of 1710 adults, 53% responded "yes" to the survey question. How many adults answered…

A: Given In a survey of 1710 adults, 53% responded "yes" to the survey question.

Q: c. Because Abed is the ten-thousandth customer at the mall, he receives a prize of an unkno number…

A: Let the number of candies is x  Candies given to sister is 13x remaining candies  x-13x=23x number…

Q: The Wycoffs are planning their next family night. They always have dinner out somewhere and then do…

A: The answer is attached below,

Q: A department consists of 5 men and 7 women. From this department you select a committee with 3 men…

A: From the provided information, A department consists of 5 men and 7 women. We select a committee…

Q: We are at altitude and they have a dunk contest. 7 people participate. How many ways can those 7…

A: Given in the question that we have total 7 participants and we have to find in how many ways can…

Q: Milky buys 15 tokens and she will use them all. She is too scared to go on the Dipper, but she must…

A: Milky has 15 tokens She's scared of Dipper ride and won't miss Teacups ride. She cannot go on any…

Q: Mrs. Roland distributed a bag of Skiffles fo her students. She gave each student five skittles, then…

A: Let S= number of students The number of students is obtained as given below:…

Q: A lady has 4 dresses and she want to bring 2 of them with her on the trip. How many ways to choose 2…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: Johnny has 54 apples and 89 grapes. He gives half of his apples to Samantha, who already had 5. Then…

A: Given,            Johnny has 54 apples and 89 grapes. He gives half of his apples to Samantha,…

Q: From a class with 45 students, 9 students will be chosen to join the Math Fair. In how many ways can…

A: