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题目内容
If there are more students in Class A than in Class B, then which of the following statements alone can sufficiently determine the average height in Class A is higher than that of Class B?
Indicate all such is/are true.
20 numbers ranging from 0 to 1 are included in Set Q. Set R also has 20 numbers inside and is composed in a way as follows:
If any number X in Set Q is less than $$\frac{1}{2}$$, then X is also included in Set R;
If any number X in Set Q equals to or is more than $$\frac{1}{2}$$, then (2X-1) is also included in Set R

Quantity A

The standard deviation of all the numbers in Set Q

Quantity B

The standard deviation of all the numbers in Set R
The random variable X is normally distributed. The values 650 and 850 are at the 60th and 90th percentiles of the distribution of X, respectively.

Quantity A

The value at the 75th percentile of the distribution of X

Quantity B

750
What is the tens digit of $$\frac{39!}{29!}$$?
$$n$$ and $$k$$ are integers, $$n > k > 1$$

Quantity A

$$(n-k)!$$

Quantity B

$$n!-k!$$
How many positive integers less than 10,000 are such that the product of their digits is 210?
In how many ways can 5 paintings be put into 3 different frames (one painting for each frame)?
How many odd 5-digit integers can be formed out of 3, 4, 6, 7, 9 such that each is used for only once?
Al, Ben, Carl, Dina, and Edna are to be seated in a row of 5 adjoining chairs, with 1 person sitting in each chair. If Dina and Edna must each be seated in the first chair in the row or the last chair in the row, in how many different seating arrangements can the 5 people be seated?
Set A consists of all of the positive five-digit even integers that can each be formed by using all of the digits 1, 2, 3, 4, and 5. What is the number of integers in set A?
How many three-digit integers can be formed out of 8 different integers (5 odd ones, 3 even ones) so that the tens and hundreds digit are both odd integers, while the units digit is an even integer (no integers could be used by more than once)?
Five gift cards will be distributed among 10 people so that no person receives more than one gift card. The gift cards consist of one $100 gift card, one $50 gift card, one $25 gift card and two $10 gift cards. How many different distributions of the five gift cards among the 10 people are possible if the two $10 gift cards are considered to be identical?
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?
In how many ways can a 5-person committee can be formed out of 6 professors, 3 managers and 4 coordinators such that Dr. W, one of the professors, and Ms. M, one of the managers, are both selected?
From a group of 8 people, it is possible to create exactly 56 different k-person committees. Which of the following could be the value of k ?
Indicate all such values.
How many three-digit integers between 100 and 900, inclusive, are out there where the sum of their first two digits and last two digits are both 7?
Four different persons will be selected from 2 men and 5 women to serve on a committee. If at least 1 man and 1 woman must be among thoses selected, how many different selections of the 4 persons are possible?
How many even double-digit integers can be formed out of six integers from 1 to 6 such that no repeated numbers are used?
Five identical balls need to be put into three different boxes. At least one ball should be included in each box. How many ways can these balls be arranged?
Six identical balls need to be put into four different boxes. At least one ball should be included in each box. How many ways can these balls be arranged?

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