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**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**

**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)
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,...
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**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**
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