# Most Important Questions of Permutation and Combination for SBI PO

**As we all know SBI PO is here and we are ready with the 80 days plan in which we provide you daily quizzes on new pattern questions with different topics that will help you to go through this exam.**

**So, here we are with the Most important questions of Permutation and Combination.**

**Q1. How many positive numbers can be formed by using any number of the digits 0, 1, 2, 3 and 4, no digit being repeated in any number?**

(a) 360

(b) 260

(c) 620

(d) 280

(e) None of these

**Q2. In how many ways 3 prizes can be given away to 7 boys when each boy is eligible for any of the prizes?**

(a) 243

(b) 343

(c) 433

(d) 2187

(e) None of these

**Q3. In a class of 15 students, there are 5 girls. In how many different ways can they be arranged in a row such that no two of the five girls are consecutive?**

**Q4. How many words can be formed with the letters of the word “Pataliputra’ without changing the relative order of the vowels and consonants?**

(a) 3600

(b) 6300

(c) 3900

(d) 4600

(e) None of these

**Q5. How many different letter arrangements can be made from the letters of the word RECOVER?**

(a) 1210

(b) 5040

(c) 1260

(d) 1200

(e) None of these

**Q6. In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?**

(a) 48

(b) 24

(c) 120

(d) 60

(e) None of these

**Q7. 4 boys and 2 girls are to be seated in a row in such a way that two girls are always together. In how many different ways can they be seated?**

(a) 120

(b) 720

(c) 148

(d) 240

(e) None of these

**Q8. 8 men entered a lounge simultaneously. If each person shook hands with the other then find the total no. of handshakes.**

(a) 16

(b) 36

(c) 56

(d) 28

(e) None of these

**Q9. In a party every person shakes hands with every other persons. If there was a total of 120 handshakes in the party, find the no. of persons who were present in the party.**

(a) 15

(b) 18

(c) 16

(d) 20

(e) None of these

**Q10. There are 8 members in a delegation which is to be sent abroad. The total no. of members is 18. In how many ways can the selection be made so that 2 members are always included?**

(a) 8800

(b) 8008

(c) 8018

(d) 8080

(e) None of these

**Q11. From 5 officers and 7 jawans in how many ways can 4 be chosen to include exactly 2 officer?**

(a) 210

(b) 120

(c) 200

(d) 105

(e) None of these

**Q12. From 8 officers and 12 jawans in how many ways can 7 be chosen to include exactly 3 officers?**

(a) 27720

(b) 27270

(c) 26620

(d) 27660

(e) None of these

**Q13. From a group of 6 men and 4 women a committee of 4 persons is to be formed.**

**(i) In how many different ways can it be done so that the committee has at least one woman?**

(a) 210

(b) 225

(c) 195

(d) 185

(e) None of these

**Q14. From 4 officers and 8 jawans in how many ways can be 6 chosen to include at least one officer?**

(a) 896

(b) 986

(c) 886

(d) 996

(e) None of these

**Q15. In how many ways 3 boys and 3 girls can be seated in a row so that boys and girls are alternate?**

(a) 9

(b) 36

(c) 72

(d) Data inadequate

(e) None of these