Question 1(10 points)

Given an alphabet = {a,b,c,d}. How many strings of length 3 can be formed from the letters in that alphabet?

Question 1 options:

12

81

64

121

Question 2(10 points)

If you draw two playing cards from separate decks of 52 cards, consisting of four suits, what is the probability that the two cards will be different suits?

Question 2 options:

3/4

15/26

9/13

41/52

Question 3(10 points)

Among a group of 58 programmers, who know either Java or Python or both, 15 only know Java and 13 only know Python. What is the probability of randomly choosing a programmer who knows both languages?

Question 3 options:

15/58

15/29

13/28

13/58

Question 4(10 points)

Given an alphabet = {a, b, c, d}. How many strings of length 4 are in *, such that each string contains each of the four letters exactly once?

Question 4 options:

24

4

36

16

Question 5(10 points)

How many integers are there between 100 and 500 inclusive that are divisble by 4?

Question 5 options:

101

100

200

201

Question 6(10 points)

Among a group of 54 automobiles, 31 are made in the US, 10 are made in Mexico, and 3 in Canada. What is the probability that any car is made in North America?

Question 6 options:

5/27

3/54

22/27

31/54

Question 7(10 points)

How many anagrams are there for the wordhello, including the word itself?

Question 7 options:

25

240

120

60

Question 8(10 points)

How many ways are there to choose five honor students among a class of 15 students?

Question 8 options:

6000

1001

2000

3003

Question 9(10 points)

Suppose 56 computer science majors are required to choose one senior level course among seven such courses. There will be at least one course that at least how many students choose?

Question 9 options:

9

7

49

8

Question 10(10 points)

Among a group of 57 programmers who know either Java or Python or both, 15 only know Java and 13 only know Python. How many know both languages?

Question 10 options:

42

29

44

7