Finding Outcomes Answers

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4

Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5.Which set would be considered a subset of set V?

A
Set W is all the unique three-digit numbers using the digits 1, 3, and 5.
B
Set X is all the unique three-digit numbers using the digits 2, 4, and 6.
C
Set Y is all the unique three-digit numbers using the digits 0, 2, and 4.
D
Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.
6

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.Which statements about the situation are true? Select three options.There are four ways to choose the committee.There are three ways to form the committee if person D must be on it.If seven members are eligible next year, then there will be fewer combinations.If persons B and C must be on the committee, there are two ways to form the committee.If persons A and C must be on the committee, then there is only one way to form the committee.

A
There are four ways to choose the committee.
B
There are three ways to form the committee if person D must be on it.
C
If seven members are eligible next year, then there will be fewer combinations.
D
If persons B and C must be on the committee, there are two ways to form the committee.
E
If persons A and C must be on the committee, then there is only one way to form the committee.
8

Six teammates are competing for first, second, and third place in a race.How many possibilities are there for the top three positions?

A
20
B
30
C
120
D
240
9

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.How many different ways are there to present those ribbons if the order matters?

A
56
B
336
C
6,720
D
8,064
10

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.Which statements about the situation are true? Select three options.There are four ways to choose the committee.There are three ways to form the committee if person D must be on it.If seven members are eligible next year, then there will be fewer combinations.If persons B and C must be on the committee, there are two ways to form the committee.If persons A and C must be on the committee, then there is only one way to form the committee.

A
There are four ways to choose the committee.
B
There are three ways to form the committee if person D must be on it.
C
If seven members are eligible next year, then there will be fewer combinations.
D
If persons B and C must be on the committee, there are two ways to form the committee.
E
If persons A and C must be on the committee, then there is only one way to form the committee.
11

Three out of seven students in the cafeteria line are chosen to answer survey questions.How many different combinations of three students are possible?

Question illustration
A
7
B
35
C
70
D
210

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