Aptitude Preparation: Mock Test, IT Campus Placement, Aptitude Questions and Answers

Subject: Permutation and Combination 3

**Part 3: List for questions and answers of Permutation & Combination**

**Q1. There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?**

a) 3200

b) None of these

c) 1800

d) 3600

**Q2. How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?**

a) 720

b) 360

c) 1420

d) 1680

**Q3. An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he make a pair of table and chair?**

a) 100

b) 80

c) 110

d) 64

**Q4. buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?**

a) None of these

b) 600

c) 576

d) 625

**Q5. A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours?**

a) 62

b) 48

c) 12

d) 24

**Q6. A question paper has two parts P and Q, each containing 10 questions. If a student needs to choose 8 from part P and 4 from part Q, in how many ways can he do that?**

a) None of these

b) 6020

c) 1200

d) 9450

**Q7. In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate?**

a) 2880

b) 1400

c) 1200

d) 3212

**Q8. Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?**

a) 120

b) 720

c) 125

d) 729

**Q9. How many two digit numbers can be generated using the digits 1,2,3,4 without repeating any digit?**

a) 4

b) 10

c) 12

d) 16

**Q10. There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and R. In how many ways can one travel from P to R?**

a) 8

b) 10

c) 12

d) 14

**Q11. There are 10 women and 15 men in an office. In how many ways can a person can be selected?**

a) None of these

b) 50

c) 25

d) 150

**Q12. There are 10 women and 15 men in an office. In how many ways a team of a man and a woman can be selected?**

a) None of these

b) 50

c) 25

d) 150

**Q13. In how many ways can three boys can be seated on five chairs?**

a) 30

b) 80

c) 60

d) 120

**Q14. There are 6 persons in an office. A group consisting of 3 persons has to be formed. In how many ways can the group be formed?**

a) 30

b) 10

c) 40

d) 20

**Q15. There are 5 yellow, 4 green and 3 black balls in a bag. All the 12 balls are drawn one by one and arranged in a row. Find out the number of different arrangements possible.**

a) 25230

b) 23420

c) 21200

d) 27720

**Q16. In how many ways can 7 boys be seated in a circular order?**

a) 60

b) 120

c) 5040

d) 720

**Q17. In how many ways can 7 beads can be arranged to form a necklace?**

a) 720

b) 360

c) 120

d) 60

**Q18. In how many ways can a team of 5 persons be formed out of a total of 10 persons suchthat two particular persons should be included in each team?**

a) 56

b) 28

c) 112

d) 120

**Q19. In how many ways can a team of 5 persons be formed out of a total of 10 persons such that two particular persons should not be included in any team?**

a) 56

b) 112

c) 28

d) 128

**Q20. How many triangles can be formed by joining the vertices of an octagon?**

a) 56

b) 28

c) 112

d) 120

**Part 3: List for questions and answers of Permutation & Combination**

Q1. Answer: c

Q2. Answer: d

Q3. Answer: b

Q4. Answer: b

Q5. Answer: d

Q6. Answer: d

Q7. Answer: a

Q8. Answer: d

Q9. Answer: c

Q10. Answer: c

Q11. Answer: c

Q12. Answer: d

Q13. Answer: c

Q14. Answer: d

Q15. Answer: d

Q16. Answer: d

Q17. Answer: b

Q18. Answer: a

Q19. Answer: a

Q20. Answer: a