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Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?
In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?
N equals the number of positive 3-digit numbers that contain odd digits only.

Quantity A

N

Quantity B

125


Main course: Chicken, Beef, Tofu

Side dish: Rice, Salad, Soup, Pasta

Dessert: Pie, Cake

A meal at a certain restaurant consists of 1 main course, 2 different side dishes and 1 dessert.

Quantity A

Number of different meals possible

Quantity B

36




Quantity A

Number of different triangles possible using the given points as

Quantity B

42


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From a group of 8 people, it is possible to create 56 different k-person committees. Which of the following could be the value of k ?

Indicate all such values.
A knockoff website requires users to create a password using letters from the word MAGOSH. If each password must have at least 4 letters and no repeated letters are allowed, how many different passwords are possible?_____
A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible?
In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and Bob are not seated next to each other?
In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
How many integers between 1 and $$10^21$$?are such that the sum of their digits is 2?
There are 10 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
How many positive integers less than 10,000 are such that the product of their digits is 210?
The area of a circle is equal to the area of a square.

Quantity A

The circumference of the circle.

Quantity B

The perimeter of the square.




Quantity A

x

Quantity B

90


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Quantity A

180+a

Quantity B

b+c


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Quantity A

a+b

Quantity B

c+d


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Quantity A

x

Quantity B

y


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Quantity A

Length of AB

Quantity B

Length of BC


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Quantity A

Area of quadrilateral

Quantity B

56


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