Number of persons in the room is..

Bank Exams 
Quantitative Aptitude

Permutations & Combinations

1. In how many different ways can the letters of word RABBIT be arranged? 

A) 360          B) 240          C) 300 
D) 275          E) None of these

2. In how many ways a group of 3 students can be selected from 7 men and 5 women consisting of 1 man and 2 women?

A) 7       B) 110       C) 60       D) 70 
E) None of these

3. A team of 6 children is to be selected out of 4 girls and 5 boys such that it contains at least two girls. In how many different ways can the selection be made?

A) 105          B) 80          C) 100 
D) 120          E) None of these

4. In how many different ways can 4 females and 5 males be arranged in a row so that the four females sit together?

A) 17280     B) 12560 
C) 16480     D) 18560 
E) None of these

5. In how many different ways can the letters of the word WINDOW be arranged in such a way that the vowels never come together? 

A) 350          B) 250          C) 720 
D) 300          E) None of these

6. In a room everybody shakes hands with everybody else. The total number of hand-shakes is 66. The total number of persons in the room is: 

A) 11            B) 14            C) 10 
D) 12            E) None of these

7. In how many ways a word NEWSPAPER can be arranged so that N, S and W always come together?

A) 1530          B) 1450       C) 1130 
D) 1260          E) None of these

8. 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          B) 420          C) 5040 
D) 120          E) None of these

9. In how many ways can the letters of the word ‘PARAGLIDING’ be arranged such that all the vowels occur together?

A) 88322 ways        B) 120960 ways 
C) 740 ways        D) 144868 ways 
E) None of these

10. 8 members are to be selected from a group of 9 males and 7 females. In how many ways will the members with at most 3 females and at least 4 males be selected? 

A) 6472 ways        B) 6286 ways 
C) 6435 ways        D) 6225 ways 
E) None of these

11. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A) 210          B) 1050       C) 25200
D) 21400      E) None of these

12. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

A) 32              B) 48            C) 96     
D) 64              E) None of these

13. 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 on the committee. In how many ways can it be done?

A) 564          B) 645          C) 735    
D) 756          E) None of these

14. 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          B) 209          C) 194 
D) 205          E) None of these

15. 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) 5               B) 10           C) 15 
D) 20             E) None of these

16. At a dinner party 8 men and 8 women sit at a round table in how many ways they can sit if men and women alternate

A) 5! × 6!     B) 6! × 7! 
C) 7! × 8!      D) 4! × 5! 
E) None of these

17. In an examination, a candidate is required to pass all six different  subjects. The number of ways he can fail is...

A) 59          B) 64          C) 56 
D) 63          E) None of these