Math Problem Statement

valuate the expression.

7! − 5!   

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MY NOTES

AUFEXC4 12.2.005.

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Evaluate the expression.

(6 − 3)!   

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MY NOTES

AUFEXC4 12.2.015.

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Evaluate the expression.

P(8, 3) · P(4, 2)   

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MY NOTES

AUFEXC4 12.2.047.

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A professor gives his students 9 essay questions to prepare for an exam. Only 4 of the questions will actually appear on the exam. How many different exams are possible?   different exams  

Additional Materials

Tech Guide: Excel

Tech Guide: TI-83/84

Tech Guide: TI-Nspire

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MY NOTES

AUFEXC4 12.2.021.

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Evaluate the expression.

C(19, 0)   

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MY NOTES

AUFEXC4 12.2.027.MI.

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Evaluate the expression.   C(6, 4) · C(7, 5)

C(13, 9)      

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MY NOTES

AUFEXC4 12.2.037.

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A student downloaded 5 music files to a portable music player. In how many different orders can the songs be played?

 different orders   

Additional Materials

Tech Guide: Excel

Tech Guide: TI-83/84

Tech Guide: TI-Nspire

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MY NOTES

AUFEXC4 12.2.049.

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A committee of 4 people is chosen from 9 women and 9 men. How many different committees are possible that consist of 2 women and 2 men?  committees  

Additional Materials

Tech Guide: Excel

Tech Guide: TI-83/84

Tech Guide: TI-Nspire

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MY NOTES

AUFEXC4 12.2.050.

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In a shipment of 21 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 4 smartphones, of which 2 are defective?

 ways  

Additional Materials

Tech Guide: Excel

Tech Guide: TI-83/84

Tech Guide: TI-Nspire

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MY NOTES

AUFEXC4 12.2.065.

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This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.

How many hands contain 4 jacks?  hands  

Additional Materials

Tech Guide: Excel

Tech Guide: TI-83/84

Tech Guide: TI-Nspire

**[–/1 Points]**DETAILS

MY NOTES

AUFEXC4 12.2.067.

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This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.

How many hands contain exactly 3 kings?  hands  

Additional Materials

Tech Guide: Excel

Tech Guide: TI-83/84

Tech Guide: TI-Nspire

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MY NOTES

AUFEXC4 12.2.070.

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This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.

How many hands contain exactly two 2s and two 5s?  hands  

Additional Materials

Tech Guide: Excel

Tech Guide: TI-83/84

Tech Guide: TI-Nspire

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Math Problem Analysis

Mathematical Concepts

Factorials
Permutations
Combinations

Formulas

n! (factorial)
P(n, k) (permutations)
C(n, k) (combinations)

Theorems

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Suitable Grade Level

Advanced High School