AnswersHCISD-Mathematical Models with Applications B-CR SUMMERPermutations and Combinations

Permutations and Combinations Answers

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What does the symbol for factorial function mean?

Question illustration
A
It means to divide a series of descending natural numbers.
B
It means to multiply a series of descending natural numbers.
C
It means to divide a series of ascending natural numbers.
D
It means to multiply a series of ascending natural numbers.
2
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There are 9 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

A
504
B
84
C
729
D
362,880
3

Compute the following:

Question illustration
A
16
B
0
C
64
D
1
4

How many different four-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6 if no digit can be used more than once? a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
5

Evaluate the given expression.

Question illustration
A
60480
B
60505
C
60495
D
60470
6

Decide if the following problem is an example of a permutation or a combination. State your rationale. For a study, 4 people are chosen at random from a group of 10 people. How many ways can this be done?

A
combination - set of objects arrangedin a certain order
B
permutation - set of objects arrangedin a certain order
C
combination - an unordered arrangement of objects
D
permutation - an unordered arrangement of objects
7

Evaluate the given expression.

Question illustration
A
40
B
32
C
25
D
20
8

Evaluate the given expression.

Question illustration
A
505
B
500
C
495
D
510
9

Compute the following:

Question illustration
A
1680
B
840
C
21
D
4
10

Compute the following:

Question illustration
A
325
B
324
C
1
D
326
11

Compute the following:

Question illustration
A
6720
B
5.6
C
3360
D
560
12

Decide if the following problem is an example of a permutation or a combination. State your rationale. For a study, 4 people are chosen at random from a group of 10 people. How many ways can this be done?

A
combination - set of objects arrangedin a certain order
B
permutation - set of objects arrangedin a certain order
C
combination - an unordered arrangement of objects
D
permutation - an unordered arrangement of objects
13

If 6 newborn babies are randomly selected, how many different gender sequences are possible?

A
720
B
36
C
12
D
64
14

What does the symbol for factorial function mean?

Question illustration
A
It means to divide a series of descending natural numbers.
B
It means to multiply a series of descending natural numbers.
C
It means to divide a series of ascending natural numbers.
D
It means to multiply a series of ascending natural numbers.
15

Evaluate the given expression.

Question illustration
A
1,260
B
1,278
C
1,275
D
1,270
16

A shirt company has 3 designs each of which can be made with short or long sleeves. There are 7 color patterns available. How many different types of shirts are available from this company?

A
42
B
12
C
21
D
10
17

There are 9 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

A
504
B
84
C
729
D
362,880

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