MathTV Topic - Permutations and Combinations

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Get Ready for Statistics: Corequisites
Permutations and Combinations

Problem 1

Suppose a sample space is a deck of \(52\) playing cards. Let set \(A=\{ \text{Aces} \}\) and \(B=\{ \text{Kings} \}\) and use a Venn diagram to show that \(A\) and \(B\) are mutually exclusive.

Choose instructor to watch:

Mr. Perez

Joshua

Stephanie

Julieta

Problem 2

Use a Venn diagram to show the intersection of the set \(A=\{\text{Aces}\}\) and \(B=\{\text{Spades}\}\) from the sample space of a deck of playing cards.

Choose instructor to watch:

Mr. Perez

Logan

Stephanie

Julieta

Problem 3

Use Venn diagrams to check the following expression. \[A\cap(B\cup C)=(A\cap B)\cup (A\cap C)\]

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Mr. McKeague

Julieta

Logan

Mr. Perez

Problem 4

Let \(A\) and \(B\) be two intersecting sets, neither of which is a subset of the other. Use a Venn diagram to illustrate the set \[\{x\mid x\in A\text{ and }x\notin B\}\]

Choose instructor to watch:

Mr. McKeague

Stephanie

Mr. Perez

Julieta

Problem 5

Find the number of permutations of the letters in the set \(\{\text{E, N, G, L, I, S, H}\}\).

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Joshua

Stephanie

Julieta

Problem 6

How many different ways are there to arrange the letters in the word CHEMISTRY?

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Logan

Stephanie

Julieta

Problem 7

How many strings of letters can be made from the letters in the word FINAL, if no letter can be repeated?

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Mr. McKeague

Logan

Julieta

Problem 8

In how many ways can \(8\) people fill \(5\) chairs at a table?

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Joshua

Stephanie

Julieta

Problem 9

How many ways are there for three people from the set \(\{\text{Pat, Diane, Tim, JoAnn}\}\) to win first, second, and third prize in a contest?

Choose instructor to watch:

Julieta

Problem 10

How many three-person committees can be formed from people in the set \(\{\text{Pat, Diane, Tim, JoAnn}\}\)?

Choose instructor to watch:

Mr. McKeague

Stephanie

Julieta

Problem 11

How many four-person committees can be selected from a set of \(7\) people?

Choose instructor to watch:

Mr. McKeague

Stephanie

Julieta

Problem 12

A jar contains \(4\) coins: a penny, a nickel, a dime, and a quarter. If \(2\) coins are selected, how many different amounts of money are possible?

Choose instructor to watch:

Mr. McKeague

Stephanie

Julieta

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