**Educational Content: Review Questions** **SHORT ANSWER:** Write the word or phrase that best completes each statement or answers the question. **29)** How many different five-letter code words are possible from the first ten letters of the alphabet if the first letter cannot be a vowel and adjacent letters must be different. Answer: _______ --- **MULTIPLE CHOICE:** Choose the one alternative that best completes the statement or answers the question. **30)** The access code to a house’s security system consists of five digits. How many different codes are available if each digit can be repeated? A) 32 B) 100,000 C) 3125 D) ____ E) 45 Answer: _______ --- **Diagram Explanation:** - **Venn Diagram:** A Venn diagram is displayed with three intersecting circles labeled \(A\), \(B\), and \(C\), within a universal set \(U\). The numbers in various regions represent the number of elements shared between or exclusive to the sets. - In the left circle (A): \(4\) - In the intersection of A and B: \(3\) - In the intersection of B and C: \(7\) - In the intersection of A and C: \(5\) - In the intersection of all three sets A, B, and C: \(2\) - Exclusive to B: \(8\) - Exclusive to C: \(15\) - Outside all three circles but within the universal set: \(10\) --- **31)** Use the Venn diagram below to find the number of elements in the region \(n(A)\). A) \(17\) B) \(4\) C) \(9\) D) \(12\) Answer: _______ --- **PAGE 9 REVIEW\_\_SANJAC**

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
**Educational Content: Review Questions**

**SHORT ANSWER:** Write the word or phrase that best completes each statement or answers the question.

**29)** How many different five-letter code words are possible from the first ten letters of the alphabet if the first letter cannot be a vowel and adjacent letters must be different.
      
Answer: _______

---

**MULTIPLE CHOICE:** Choose the one alternative that best completes the statement or answers the question.

**30)** The access code to a house’s security system consists of five digits. How many different codes are available if each digit can be repeated?

   A) 32

   B) 100,000

   C) 3125

   D) ____ 

   E) 45

   Answer: _______

---

**Diagram Explanation:**

- **Venn Diagram:** A Venn diagram is displayed with three intersecting circles labeled \(A\), \(B\), and \(C\), within a universal set \(U\). The numbers in various regions represent the number of elements shared between or exclusive to the sets.

  - In the left circle (A): \(4\)
  - In the intersection of A and B: \(3\)
  - In the intersection of B and C: \(7\)
  - In the intersection of A and C: \(5\)
  - In the intersection of all three sets A, B, and C: \(2\)
  - Exclusive to B: \(8\)
  - Exclusive to C: \(15\)
  - Outside all three circles but within the universal set: \(10\)

---

**31)** Use the Venn diagram below to find the number of elements in the region \(n(A)\).

   A) \(17\)

   B) \(4\)

   C) \(9\)

   D) \(12\)
   
   Answer: _______

---

**PAGE 9 REVIEW\_\_SANJAC**
Transcribed Image Text:**Educational Content: Review Questions** **SHORT ANSWER:** Write the word or phrase that best completes each statement or answers the question. **29)** How many different five-letter code words are possible from the first ten letters of the alphabet if the first letter cannot be a vowel and adjacent letters must be different. Answer: _______ --- **MULTIPLE CHOICE:** Choose the one alternative that best completes the statement or answers the question. **30)** The access code to a house’s security system consists of five digits. How many different codes are available if each digit can be repeated? A) 32 B) 100,000 C) 3125 D) ____ E) 45 Answer: _______ --- **Diagram Explanation:** - **Venn Diagram:** A Venn diagram is displayed with three intersecting circles labeled \(A\), \(B\), and \(C\), within a universal set \(U\). The numbers in various regions represent the number of elements shared between or exclusive to the sets. - In the left circle (A): \(4\) - In the intersection of A and B: \(3\) - In the intersection of B and C: \(7\) - In the intersection of A and C: \(5\) - In the intersection of all three sets A, B, and C: \(2\) - Exclusive to B: \(8\) - Exclusive to C: \(15\) - Outside all three circles but within the universal set: \(10\) --- **31)** Use the Venn diagram below to find the number of elements in the region \(n(A)\). A) \(17\) B) \(4\) C) \(9\) D) \(12\) Answer: _______ --- **PAGE 9 REVIEW\_\_SANJAC**
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education