Project 1 MATE 2800

The following table shows the choices that Oliver has for breakfast. How many total options does he have?

• 6

• 8

• 15

• 18

Let ,A={1,2,3,4,5,6}, ,B={2,4,6}, C={1,2,3} and .D={7,8,9}. Determine if the following is true or false.

A ∈ B

• True

• False

Out of three people(Billy, John, and Mike), one is a wizard, one is a knight, and one is a troll. The wizard can either lie or tell the truth, the knight can only tell the truth, and the troll and only lie.

Billy says: John is a knight

John says: Mike is a troll

Mike says: I am the wizard

Who is the wizard, who is the knight, and who is the troll.

• Billy: Knight

  John: Wizard

  Mike: Troll

• Billy: Wizard

  John: Knight

  Mike: Troll

• Billy: Troll

  John: Wizard

  Mike: Knight

• Billy: Wizard

  John: Troll

  Mike: Knight

How many different 3-person teams can be formed from a group of 7 people?

• 21

• 35

• 42

• 56

Which of the following is a subset of {1, 2, 3}?

• {1, 4}
• {2, 3}
• {4, 5}
• {1, 2, 3, 4}

There are 25 basketball teams that will play each other this season. If all 25 basketball teams play every other team exactly once, how many games will take place?

• 600

• 300

• 625

• 250

Let ,A={1,2,3,4,5,6}, ,B={2,4,6}, C={1,2,3} and .D={7,8,9}. Determine if the following is true or false.

B ∈ C

• True

• False

A child at a day care can choose one type of writing tool and one type of paper for an art project. The chart shows the types of writing tools and paper that are available.

Which list shows all the combinations of one type of writing tool and one type of paper that can be used for the art project?

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Tags

7.1.6.A

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players, if the order doesn't matter?

• 462

• 55440

• 55

• 1000

Let ,A={1,2,3,4,5,6}, ,B={2,4,6}, C={1,2,3} and .D={7,8,9}. Determine if the following is true or false.

A ⊂ B

• True

• False