#### 题目列表

N equals the number of positive 3-digit numbers that contain odd digits only.

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

36

#### Quantity A

Number of different triangles possible using the given points as

#### Quantity B

42

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.

x

90

180+a

b+c

a+b

c+d

x

y

Length of AB

Length of BC

56

x

#### Quantity B

y

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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