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题目内容
How many different combinations of 5 cards can be chosen from a pack of 52 cards?

Quantity A

The number of different groups of 2 kittens that can be chosen from a litter of 8 kittens

Quantity B

The number of different groups of 6 puppies that can be chosen from a litter of 8 puppies
In a certain corporation,an employee council will consist of 3 employees who will be selected from 20 eligible employees. If each of the 3 positions on the council has a different role on the council,then there are 6,840 possible 3-employee selections from the 20 eligible employees. How many possible 3-employee selections are there if the 3 positions all have the same role?
A dinner menu offers 8 different entrees and 6 different vegetables. How many different combinations of 1 entrée and 2 different vegetables are possible?
In a group of 10 people, exactly 4 are vegetarians. A committee of 3 will be formed by randomly selecting 3 people from the group. How many of the possible 3-member committees would include exactly 2 vegetarian members?
A 3-member panel is to be selected from a group of 5 women and 3 men. If the panel is to be composed of 2 women and 1 man, how many different 3-member panels are possible?


The table lists the prices of all types of donuts available at Donut Shop J. How many different combinations of two donuts of different types can be purchased at Donut Shop J if the total of the prices of the two donuts must be less than $1.00?
At a dinner party, 5 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
If an integer is chosen at random from the integers between 3,000 and 3,799,inclusive,what is the probability that the chosen integer will be between 3,020 and 3,039, inclusive?
A number is to be selected at random from the integers from 100 through 999.

Quantity A

The probability that exactly two adjacent digits of the number selected will be the same

Quantity B

$$\frac{1}{5}$$
At a research organization, a committee consists of 3 members from department A, 3 members from department B, and 3 members from department C. From the committee, 2 different members will be selected at random to attend a conference. What is the probability that both of the members selected will be from department C?
A certain group of 10 people consists of 5 men and 5 women. From this group, 2 people are to be selected at random. The probability that the 2 people selected will consist of 1 man and 1 woman is equal to p.

Quantity A

p

Quantity B

$$\frac{1}{2}$$
Of the 7 guests at a party, 3 are close friends of the host and 4 are acquaintances of the host. At the end of the party,the host will randomly select 2 different guests to win prizes. What is the probability that both of the prizewinners will be among the 3 close friends of the host?
Two different integers, x and y, are to be selected at random from the set of positive integers less than 100.

Quantity A

The probability that both x and y will be even

Quantity B

The probability that x+y will be even
S={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

A two-member subset {k, m} of the set S shown above is to be selected at random. What is the probability that the members of the subset will satisfy the equation |k – m| = 2?
If a four-digit number is to be formed from the digits 1, 2, 3, and 4 by selecting each digit at random and using each digit only once, what is the probability that the number formed will be greater than 3,000?
For all bookstores in 1996, approximately what was the average (arithmetic mean) book sales per store?
In 1996, companies G, H, and K owned a total of 110 bookstores. If beginning in the first half of 1997, these three companies were to purchase a total of 15 of the remaining 1996 bookstores every half year, what is the first year in which all of the 1996 bookstores would be owned by these three companies?

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