1.How many different ways can 8 speakers be seated on a stage?

2.(4 points) One company's ID cards consist of 5 letters followed by 2 digits.How many cards can be made if repetitions are allowed?If repetitions are not allowed?

3.(2 points) On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas.If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected.

4.(3 points) A city council consists of seven Democrats and three Republicans.If a committee of four people is selected, find the probability of selecting one Democrat and two Republicans.

5.(3 points) In how many distinct ways can the letters of the word MISSOURI be arranged?

6.(2 points) You are taking a multiple-choice test that has 6 questions.Each of the questions has 5 answer choices, with one correct answer per question.If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?

7.(2 points) How many different committees can be formed from 10 teachers and 30 students if the committee consists of 3 teachers and 4 students?

8.(2 points) You draw one card from a 52-card deck.Then the card is replaced in the deck, the deck is shuffled, and you draw again.Find the probability of drawing a spade each time.

9.(+5 points) The table shows the breakdown of 86,000 single parents on active duty in the US military in a certain year.All numbers are in thousands and rounded to the nearest thousand.Find the probability that a randomly selected parent in the US military is:

Army

Navy

Marine Corps

Air Force

Male

22

24

8

10

Female

9

7

2

4

a.female.

b.A woman in the Air Force

c.In the Navy or a man

d.Selecting two people in the Air Force in a row

e.A female, given that you chose a person in the Army