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WRONG. C 1. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? A. 24400 B. 21300 D. 25200 C. 210 ys can they be selected

WRONG. C 1. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? A. 24400 B. 21300 D. 25200 C. 210 ys can they be selected

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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Directions: Choose the letter of the correct answer. Write lettel E choices. Place your answers before the number. USE CAPITAL LETTERS ONLY. ERAJU WRONG. C 1. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? A. 24400 B. 21300 C. 210 D. 25200 B 2. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? A. 159 C. 201 B. 209 D. 212 C 3. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done? A. 624 C. 756 A. 47200 C. 42000 B. 702 D. 812 B4. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? A. 610 C. 825 B.720 D. 920 15. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? B. 48000 D. 50400 6. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? A. 1 B. 126 D. 64 C. 63 7. In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together? A. 9800 C. 120960 B. 100020 D. 140020 8. There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed? A. 10420 C. 11760 B. 11 D. None of these
Transcribed Image Text:Directions: Choose the letter of the correct answer. Write lettel E choices. Place your answers before the number. USE CAPITAL LETTERS ONLY. ERAJU WRONG. C 1. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? A. 24400 B. 21300 C. 210 D. 25200 B 2. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? A. 159 C. 201 B. 209 D. 212 C 3. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done? A. 624 C. 756 A. 47200 C. 42000 B. 702 D. 812 B4. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? A. 610 C. 825 B.720 D. 920 15. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? B. 48000 D. 50400 6. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? A. 1 B. 126 D. 64 C. 63 7. In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together? A. 9800 C. 120960 B. 100020 D. 140020 8. There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed? A. 10420 C. 11760 B. 11 D. None of these
9. How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? A. 720 C. None of these 10. In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together? A. None of these C. 420 11. A coin is tossed 3 times. Find out the number of possible outcomes. A. None of these B. 8 D. 1 C. 2 B. 420 D. 5040 12. In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions? A. None of these B. 64 D. 36 C. 120 13. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw? A. 64 C. 32 B.720 D. 122 B. 48 14. In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together? A. None of these C. 32 B. 128 D. None of these D. 64 A. 720 C. None of these 15. In how many ways can the letters of the word 'LEADER' be arranged? A. None of these C. 360 16. How many words can be formed by using all letters of the word 'BIHAR'? A. 720 C. 120 17. How many arrangements can be made out of the letters of the word 'ENGINEERING'? A. 924000 C. None of these B. 120 D. 720 B. 24 D. 60 B. 277200 D. 182000 18. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated? A. 20 C. 8 B. 16 D. 24 19. How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' using each letter exactly once? B. 24 D. 120
Transcribed Image Text:9. How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? A. 720 C. None of these 10. In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together? A. None of these C. 420 11. A coin is tossed 3 times. Find out the number of possible outcomes. A. None of these B. 8 D. 1 C. 2 B. 420 D. 5040 12. In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions? A. None of these B. 64 D. 36 C. 120 13. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw? A. 64 C. 32 B.720 D. 122 B. 48 14. In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together? A. None of these C. 32 B. 128 D. None of these D. 64 A. 720 C. None of these 15. In how many ways can the letters of the word 'LEADER' be arranged? A. None of these C. 360 16. How many words can be formed by using all letters of the word 'BIHAR'? A. 720 C. 120 17. How many arrangements can be made out of the letters of the word 'ENGINEERING'? A. 924000 C. None of these B. 120 D. 720 B. 24 D. 60 B. 277200 D. 182000 18. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated? A. 20 C. 8 B. 16 D. 24 19. How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' using each letter exactly once? B. 24 D. 120
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