A seven-question quiz has 4 True/False questions followed by 3 multiple choice questions. For each choice question there are 4 possible answers. In how many different ways is it possible to answer the seven questions? 24 x 43 4 x 2 + 3 x 4 24 + 43 4 x 2 x 3 x 4

Q: A bag contains 3 lemon, 2 cherry, and 6 grape candies. A handful of 4 candies is grabbed from the…

A: At most 1 grape candy means 0 or 1 grape candy. There are 6 grape candies and (3+2)=5 non-grape…

Q: One bag contains 6 green and 2 white marbles. A second bag contains 7 blue and 4 silver marbles. One…

A: From given  one There is 6 green and 2 white second bag contains 7 blue and 4 silver marbles.

Q: robert may select a desktop from a geoup of seven, and laptop from a group of 5. how many stats ways…

A: given data, robert may select a desktop from a geoup of seven, and laptop from a group of 5.we have…

Q: Of 16 possible​ books, you plan to take 3 with you on vacation. How many different collections of 3…

A: See the handwritten solution

Q: There

A: Please refer to the image below

Q: Cleo writes down her four favorite numbers. When she takes three of them at a time and calculates…

A: The four numbers are a, b, c, and d.

Q: Set B pages 393-396, 397-400 A 4-foot board is cut into pieces that are foot in length. How many…

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

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: The California license plate has one number followed by three letters followed by three numbers. How…

A: GivenCalifornia license plate has one number followed by three letters followedby three numbers…

Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! The track…

Q: 4. A student must answer exactly seven questions out of twelve on the final exam. In how many ways…

A: We have to find the number of ways she can choose to answer the questions.

Q: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

Q: If Mr. Brown and his son together found 22 found leaf clovers, and Mr. Brown found 10 times as many…

A: Let Mr. Brown has x leaf clovers and his son has y leaf clovers.

Q: There are 294 students in the senior class. Four of the students will be chosen to be the President,…

A: Given,Total no.of students=294

Q: What two numbers have a sum of 8 and a product of 16?

A:

Q: Each marble bag sold by Deshaun's Marble Company contains 5 orange marbles for every 6 green…

A:

Q: Joe has a few choices for dinner or a hotdog taco or barbecue with fries or chips how many different…

A: Joe has a few choices for dinner or a hotdog taco or barbecue with fries or chips how many different…

Q: If bailey has 7 bananas and she got 2 more how Many does she have in total?

A: Given, Initially  bailey has 7 bananas  Then She got 2 more bananas We have to find the Total number…

Q: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he…

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1…

Q: There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9…

A: We can solve this

Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Q: An aquarium has 4 plants for every 3 fish. There are 36 plants in the aquarium. How many fish are…

A:

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: 13. The City Animal Control Department found out that 25 of the 90 squirrels that they trapped and…

A:

Q: Coco arranged 32 chairs in 4 rows. If each row has an equal number of chairs, how many chairs are in…

A:

Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Given that, the track team has 20 members and will be sending 5 members to the next competition.

Q: A bag contains 25 gumballs in total.  There are 6 blue gumballs, 7 green gumballs, 4 red gumballs, 3…

A: Solution: Given information: Total gumballs = 6 blue gumballs +  7 green gumballs + 4 red gumballs +…

Q: An examination question paper has two sections A and B.  Each section has 6 questions.  Student has…

A: It is given that student has to answer 4 Questions and He cannot answer more than 3 from a…

Q: I caught 25 ducks and tagged them and let them go in a refuge. one month later i catch 70 ducks. I…

A: The number of ducks caught first time is 25.The number of ducks caught second time is 70. But 6 of…

Q: A piggy bank contains P1, P5, and P10 totaling P100. There are 26 coins in all and there are 2 more…

A: Given ,  A piggy bank contains P1, P5, and P10 totaling P100 There are 26 coins in all and there are…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.