AnswersFall 24 GMS Geometry Concepts and Connections BUnit Test

Finding Outcomes Answers

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Three students, Angie, Bradley, and Carnell, are being selected for three student council offices: president, vice president, and treasurer. In each arrangement below, the first initial of each person’s name represents that person’s position, with president listed first, vice president second, and treasurer third. Which shows the possible outcomes for the event?

A
ABC
B
ABC, BAC, CBA
C
AAA, BBB, CCC
D
ABC, ACB, BCA, BAC, CAB, CBA
2
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Question text not available

Answers:
Blank 1:720
Blank 2:30
Blank 3:20
3

Question text not available

Answer:

30

4

Question text not available

Answer:

20

5

Eli chooses two shirts from a group of five to pack for a weekend trip. Let each shirt be represented by A, B, C, D, and E. Which statements about the situation are true? Check all that apply.The combination of AB and BA are the same. Each shirt can be paired with any one of other the remaining shirts. There are twenty possible ways to choose the group of shirts. He has five choices for the first shirt and five choices for the second shirt. If he chooses shirt B, there are four possible outcomes for choosing the second shirt.

A
The combination of AB and BA are the same.
B
Each shirt can be paired with any one of other the remaining shirts.
C
There are twenty possible ways to choose the group of shirts.
D
He has five choices for the first shirt and five choices for the second shirt.
E
If he chooses shirt B, there are four possible outcomes for choosing the second shirt.
6

Question text not available

Answer:

120

7

In how many ways can the letters in the word balloon be arranged?

A
210
B
1,260
C
2,520
D
5,040
8

How many ways can the teacher choose a group of 5 students to present on the first day if Marjorie must present on the first day?

Answers:
Ten students need to present their reports. Five can present each day. How many ways can the teacher choose a group of five students to present their reports on the first day?:252
Selection 2:126
9

How many ways can the teacher choose a group of 5 students to present on the first day if Marjorie must present on the first day?

Answers:
Ten students need to present their reports. Five can present each day. How many ways can the teacher choose a group of five students to present their reports on the first day?:252
Selection 2:126
10

✔ 126 252 3,024 30,240

A
✔ 126
B
252
C
3,024
D
30,240
11

60 120 1,140✔ 6,840

A
60
B
120
C
1,140
D
✔ 6,840
12

171 190✔ 342 380

A
171
B
190
C
✔ 342
D
380
13

✔ 18 20 54 58

A
✔ 18
B
20
C
54
D
58
14

Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants his fruit salad to contain five different fruits. How many ways can he make the fruit salad if it must contain watermelon?

A
21
B
35
C
56
D
70
15

Which statements describe Lorelei’s solution? Check all that apply.

A
Her work is correct.
B
Her answer is correct.
C
In step 1, the subtraction cannot be completed before the factorial of each number is calculated.
D
In step 1, 12! divided by 10! is not equivalent to 6! divided by 5!.
E
In step 3, the dividing out of common factors was performed incorrectly.
F
There are sixty-six ways to choose ten items from twelve.

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