1. How many students like Spider-Man but do not like Dark Knight? 41 2. How many students like Dark Knight but do not like Spider-Man? 23 3. How many students like either Spider-Man or Dark knight? 64 4. How many students are there in the class? 107

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: This is a case of permutation.

Q: You want to go visit 3 of the 8 teachers you had last year. How many different ways can you visit…

A:

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…

A: Given, in a piggy bank, there are  8 nickels, 5 dimes, 7 quarters, and 6 loonies.

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: Among the seniors at a small high school of 150 total students, 80 take Math, 41 take Spanish, and…

A: Total = 150  Math = 80  Spanish = 41 Physics = 54  10 = (Math and Spanish) 19 = Math and physics 12…

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

A:

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

A:

Q: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: You have 6 books on a shelf. How many ways could you reorder them? (Enter your answer as a whole…

A: The permutation formula is given by

Q: You are in a class of 10 students. Three students will be picked to be on a committee. A student…

A: Total number of students in a class = 10 number of students picked to be on a committee = 3 A…

Q: In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and…

A: Given, numbers of rose plants in 1st, 2nd, 3rd row…… are 23, 21, 19,……..,5

Q: in how many ways can 7 students be seated in 4 chairs a. 210 b. 840 c. 2401 d. 35

A: Given Information: To find out the number of ways 7 students can be seated in 4 chairs.

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 6 different…

A:

Q: There is a class where every student either wears glasses or has dyed hair. There are 35 students in…

A:

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are  6 subcompact cars, 6 compact cars and 5 midsize cars.  pick 2…

Q: Three hundred fifty 10-year olds registered for a city wide bowling tournaments if 205 participants…

A: In a tournament Total 10 years olds registered = 350

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

A:

Q: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

A:

Q: There are eight swimmers competing in the 500 meter freestyle. In how many ways can they place in…

A:

Q: There are 9 different types of dressing at a store. How many different orders can the stocke place 5…

A:

Q: . An ice cream store has 8 different flavors, 2 different types of cones, and 3 different toppings.…

A:

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: How many ways can 6 people be seated in a round table if a. persons A and B must sit next to each…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: There are 12 different books in a bag. In how many ways can we take 4 books from the bag and stack…

A: From the provided information, There are 12 different books in a bag and 4 books taken from bag.

Q: If 6 horses are racing at a track, how many ways can 3 horses take place in the top 3 places? O 18 O…

A: Given: Number of horses = 6

Q: In the Electronic shop Illektrooneeq, TV set can be purchased in any of 4 different sizes, in any of…

A: Given Information: In the Electronic shop, TV set can be purchased in any of 4 different sizes, in…