FINALS

Question 1

A college mathematics professor at a small private school assigns trigonometry practice problems to be worked via the net. Students must use a password to access the problems and the time of log in and log off are automatically recorded for the teacher. At the end of the week, the teacher examines the amount of time each student spent working the assigned problems.
The data is previded below in minutes. Determine mean median and mode.
15,28,25,48,22,43,49,34,22,33,27,25,22,20,39

Answer 1

mean: 30.133
median: 26
mode: 22

Question 2

What is the sample standard deviation for the data given: 5, 10,7,12, 0, 20, 15, 22, 8, 2

Answer 2

7.2641

Question 3

In how many ways can 8 people sit in a round table without restriction?

Answer 3

5040

Question 4

In how many ways can 4 different resistors be arranged in series?

Answer 4

24

Question 5

How many distinct permutations can be made from the letters of the word INFINITY?

Answer 5

3360

Question 6

From a total of 9 houses, 3 were of red paint, 2 of green paint and 4of yellow paint. Determine the number of possible arrangements of assigning these 9 houses to 9 different families.

Answer 6

381024

Question 7

From a group of 9 representatives, how many committees of size 3are possible without any
restriction?

Answer 7

84

Question 8

How many ways can 5 books be selected out of 10 books if two specific books are never selected?

Answer 8

56

Question 9

A factory bldg. has 8 entrance doors. In how many ways can a person enter and leave (a) by any door, (b) by different door?

Answer 9

a. 8
b. 56

Question 10

In how many ways can 8 people sit around a round table if two particular people must sit next to each other?

Answer 10

1440

Question 11

In how many ways can 8 people sit around a round table if two particular people must not sit next to each other?

Answer 11

5040

Question 12

In how many ways can 6 people be lined up to get on a bus?

Answer 12

720

Question 13

If 3 specific persons insist on following each other, how many ways?

Answer 13

36

Question 14

From 4 red, 5 green and 6 yellow apples, how many selections of 9 apples are possible if 3 of each color are to be selected?

Answer 14

800

Question 15

How many six-person volleyball teams be made from a group of ten men and three women if:
a. There is no sex discrimination.
b. b. The team must contain at least two women?

Answer 15

a) 210
b) 140

Question 16

How many ways can 7 people be assigned to 1 triple and two double rooms? If only 6 persons will be assigned in the above problem, write all the cases of possible arrangements.

Answer 16

210
idk

Question 17

A witness to a hit and run accident told the police that the license number contained the letters
RLH followed by 3digits, the first of which is a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check.

Answer 17

72

Question 18

Out of 5 mathematicians and 7 physicits, a committee consisting of 2 mathematicians and 3. physicists is to be formed. In how many ways can this be done if
a) One physicist must be on the committee:
b) Two mathematicians cannot be on the committee.

Answer 18

150
105

Question 19

Using the digits 1, 2, 3 and 5, how many 4-digit numbers can be formed if.
a. The first digit must be 1 and repetition of the digits is allowed?
b. The first digit must be 1 and repetition of the digits is not allowed?
C. The number must be divisible by 2 and repetition is allowed?
d. The number must be odd, and repetition is not allowed?

Answer 19

64
6
64
6

Question 20

how many ways can 6 girls and 2 boys be arranged in a row.
a. without restriction?
b. such that the 2 boys are together?
c. such that the 2 boys are not together?

Answer 20

40320
idk
30240