题目列表

题目内容
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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Quantity A

x

Quantity B

y


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In this diagram, the circle is inscribed in the square.

Quantity A

Length of diagonal AC

Quantity B

$$5\frac{r}{2}$$


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