Q7. How many positive integers not exceeding 100 are divisible either by 6 or by 10?

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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Q7. How many positive integers not exceeding 100 are divisible either by 6 or by 10?
Q8. How many bit strings of length 10 either begin with four Os or end with two Os?
Q9. How many bit strings of length 10 contain either five consecutive Os or five consecutive 1s?
Q10. The English alphabet contains 21 consonants and five vowels. How many strings of six lowercase
letters of the English alphabet contain
a) exactly one vowel?
c) at least one vowel?
Q11. How many bit strings of length 10 contain at least three 1s and at least three Os?
Q12. How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are
selected from a block of 45, 4 are selected from a block of 57, and the others are selected from the
remaining 69 countries?
Transcribed Image Text:Q7. How many positive integers not exceeding 100 are divisible either by 6 or by 10? Q8. How many bit strings of length 10 either begin with four Os or end with two Os? Q9. How many bit strings of length 10 contain either five consecutive Os or five consecutive 1s? Q10. The English alphabet contains 21 consonants and five vowels. How many strings of six lowercase letters of the English alphabet contain a) exactly one vowel? c) at least one vowel? Q11. How many bit strings of length 10 contain at least three 1s and at least three Os? Q12. How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45, 4 are selected from a block of 57, and the others are selected from the remaining 69 countries?
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