Part 2 Short Answer Questions - Remember to SHOW YOUR WORKI S. At Jake's school, six students want to be captain of the soccer team, seven want to be the captain of the football team, and nine want to be the captain of the tennis team. (a) How many ways can one captain for each team be chosen? (b) How many ways can two captains for each team be chosen?

Q: In a group of 10 people, three $5 prizes will be given. How many ways can be the prizes be…

A: According to the question, there are 10 people in the group. That is, n=10 Three $5 price are…

Q: A restaurant offers a $12 dinner special that has 4 choices for an appetizer, 10 choices for an…

A: Here the given information is        A restaurant offers a $12 dinner special that has 4-choices for…

Q: The table shows the results of randomly drawn colored marbles from a bag of 150 marbles blue red…

A: Sample size drawn from bag=25 Total number of blue or green marbles in sample drawn from bag=9+4=13…

Q: An artist has 11 paintings she wants to choose 4 paintings to hang side by side on a gallery wall…

A: Total no.of paintings=11

Q: If the boy has 10 T-shirts, 6 pants, and 4 pairs of shoes. How many possibilities can he dress…

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Q: Directions: Create two (2) problems illustrating a permutation situation. Be creative in your…

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Q: Phyllis teaches marketing at a local college. She wants to select one freshman and one sophomore to…

A: Given info: Phyllis teaches marketing at a local college. She wants to select one freshman and one…

Q: 9. The Senior Concert Band and the Jazz Band are both playing selections at Arts and Music Night.…

A: We have to find the total number of ways.

Q: DIRECTION: GIVE THE RIGHT ANSWER OF THE FOLLOWING QUESTIONS: 1. What is the value of 8!? 2.  A…

A: As per the Bartleby guidelines, when more than one question is asked, only first one should be…

Q: In how many ways can 20 different pizza toppings be chosen from 22 available toppings? ways to…

A: From the provided information,20 different toppings be chosen from 22 available toppings.

Q: Tara toured New York City with her family. They started their tour at 3:15 P.M. at the Empire State…

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Q: Freddy, Gabriel and Henry had some cards. Freddy had 24 more cards than 5 Gabriel. After Freddy gave…

A: To find the solution of the questions first we need to formulate the equation with the help of given…

Q: A binomial probability experiment is conducted with the given parameters. Compute the probability of…

A: Given Information: Binomial probability experiment is conducted with parameters:  Number of trials…

Q: TOPIC: Permutation / Combination   How many ways can you select six questions if you are required…

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Q: For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side…

A: Solution Given That, For the dinner special at a restaurant, the customer must choose an appetizer,…

Q: Books: Josephine has three chemistry books, three history books, and six statistics books. She wants…

A: Given data  3 chemistry books 3 history books 6 statistics books ______________________ 12 total…

Q: How many ways are there to draw three winners out of 200 people

A: There are total 200 people involved.  Here order for  selection is matter so we will use…

Q: Joel and Learsi own goats and ducks. Counting heads there are 39. Counting legs, there are 110. How…

A: Given that  Joel and Learsi own goats and ducks. Counting heads there are 39. Counting legs, there…

Q: Instruction: Illustrate and determine the number of combinations. Choosing a variant for lunch with…

A: Since one out of vegetable dish from the available 3 dishes, i.e., pinakbet, mixed vegetable, and…

Q: Instructions Create/Use Venn Diagram to Solve the Problem. Of the people in Dustin's family, 5…

A: - Let us draw a Venn diagram to show the two categories Louisiana and Alabama.   There are two…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 7 locations…

A: Permutation:It is nothing but the arrangement of items in a definite order where the order is…

Q: Books: Josephine has ten chemistry books, three history books, and two statistics books.. She wants…

A: Given : Chemistry books =10 History books =3 Statistics books =2 She choose one book of each

Q: A bowl contains an apple, an orange, a pear, a plum, and a banana. How many different pairs of fruit…

A: Given there are 5 fruits in a bowl.

Q: After moving to a smaller place, Payton realized that she has room only for 7 out of 8 pairs of…

A: If there are n objects and the n objects are to be placed in m different places, then the number of…

Q: Challenge In a bag of marbles there are 4 blue​ marbles, 4 red​ marbles, and 5 green marbles. You…

A: Given that there are  4 blue​ marbles, 4 red​ marbles, and 5 green marbles.Assuming that the marbles…

Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

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Q: Computers in Schools Elementary and secondary schools were classified by the number of computers…

A: The following information has been given: Computers 1-10 11-20 21-50 51-100 100+ School 3453…

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

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Q: Solve the following problems You have seven books and are going to put three on a bookshelf.…

A: 1 ) Let , you have given 7 book

Q: A wooden block is painted, including he bottom, as shown in the figure. It is hen cut into pieces as…

A: The shape of the wooden block before cutting was like a cuboid. We know that the number of vertices…

Q: The gardening store sells clay flower pots, which hold 9 liters of dirt, and ceramic flower pots,…

A: Given Clay flower pots holds 9 liters of dirt and ceramic flower pots holds 10 liters of dirt.

Q: How many WAYS can you make P17 using only P10, P5 and P1 coins? SHOW the different ways.

A: Solution:   Given : P10, P5 and P1    And we have to make P17. Now,        P10 P5 P1   Total 1…