**1. In a exam paper 1st section contains 10 questions each with 5 choices and second section contains 5 questions each with 4 choices. In how many different ways can the paper be answered if all the questions are attempted?**

A.105 × 45

B.510 × 45

C.510 × 54

D.105 × 54

E. None of these

**2. How many four digit number can be formed with the digits 5,9,1 and 3 only ?**

A. 64

B. 216

C. 256

D. 324

E. None of these

**3. Find the number of ways in which 9 students equally divided into three groups?**

A. 280

B. 360

C. 200

D. 540

E. None of these

**4. Find the number of ways of distributing 9 identical balls into 4 boxes so that no box is empty and each box being large enough to accommodate all balls?**

A. 63

B. 45

C. 62

D. 56

E. None of these

**5. 12 students participated in the competition and each get different score. In how many ways can three different prizes given ?**

A. 1320

B. 1240

C.1650

D.1870

E. None of these

**6. How many arrangement can be made from the word COMMERCE, such that all the vowels do not come together?**

A. 6800

B. 5600

C. 1080

D. 9000

E. None of these

**7. Three brothers have 5 shirts, 8 pants and 6 ties. In how many ways can they wear them?**

A. 2400200

B. 2419000

C. 2419200

D. 2419100

E. None of these

**8. 5 men and 3 women are to be seated such that no 2 women sit together and 2 men sit together. Find the no of ways in which this can be arranged?**

A. 625

B. 720

C. 525

D. 516

E. None of these

**9. A group consists of 3 couples in which each of the 3 men have one wife each. In how many ways could they arranged in a straight line so that the men and women occupy alternate position?**

A. 216

B. 125

C. 256

D. 72

E. None of these

**10. In how many ways can 5 different balls be distributed to 4 different boxes, when each of the can hold any no of ball ?**

A. 1024

B. 1200

C. 1234

D. 1600

E. None of these

**11. In how many ways 5 rings can be worn on 3 fingers?**

A. 15

B. 120

C. 60

D. 70

E. 243

**12. In how many ways the letters of the word ‘AUTHOR’ be arranged taking all the letters?**

A. 120

B. 720

C. 360

D. 60

E. None of these

**13. In how many ways the letters of the word ‘MINIMUM’ be arranged taking all the letters?**

A. 420

B. 840

C. 5040

D. 720

E. 360

**14. How many words of 4 letters with or without meaning be made from the letters of the word ‘LEADING’, when repetition of letters is allowed?**

A. 4808

B. 57600

C. 2401

D. 57624

E. None of these

**15. In how many ways letters of word ‘INVISIBLE’ be arranged such that all vowels are together?**

A. 2560

B. 2880

C. 5040

D. 2520

E. 720

**16. How many words can be made out of the letters of word ‘POUNDING’ such that all vowels occupy odd places?**

A. 1440

B. 1400

C. 7200

D. 5600

E. 40320

**17. In how many ways a group of 2 men and 4 women be made out of a total of 4 men and 7 women?**

A. 720

B. 210

C. 420

D. 360

E. 120

**18. There are 8 men and 7 women. In how many ways a group of 5 people can be made such that at least 3 men are there in the group?**

A. 1545

B. 1626

C. 1722

D. 1768

E. 1844

**19. There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular woman is always included.**

A. 180

B. 120

C. 240

D. 22

E. 260

**20. There are 5 men and 3 women. In how many ways a committee of 3 members can be made such that 2 particular men are always to be excluded.**

A) 50

B) 20

C) 24

D) 48

E) None of these

**ANSWERS**

1. B

2. C

3. A

4. D

5. A

6. D

7. C

8. B

9. D

10. A

11. C

12. B

13. A

14. D

15. B

16. A

17. B

18. C

19. D

20. B