AnswersTN-Algebra II B SC 26-27 For CreditSets and Venn Diagrams

Finding Outcomes Answers

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1
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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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126 252 3,024 30,240

A
126
B
252
C
3,024
D
30,240
120715

The number of ways six people can be placed in a line for a photo can be determined using the expression 6!. What is the value of 6!? [___]

Answer:

720

120716

Two of the six people are given responsibilities during the photo shoot. One person holds a sign and the other person points to the sign. The expression represents the number of ways the two people can be chosen from the group of six. In how many ways can this happen? [___]

Answer:

30

120717

In the next photo, three of the people are asked to sit in front of the other people. The expression represents the number of ways the group can be chosen. In how many ways can the group be chosen? [___]

Answer:

20

120735

60 120 1,140 6,840

A
60
B
120
C
1,140
D
6,840
120736

171 190 342 380

A
171
B
190
C
342
D
380
120737

18 20 54 58

A
18
B
20
C
54
D
58
120738

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
120739

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.
120740

[___]

Answer:

120

120741

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

A
210
B
1,260
C
2,520
D
5,040
120742

50 252 1,260 30,240

A
50
B
252
C
1,260
D
30,240
120743

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
120744

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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