# Aptitude Questions: Permutations & Combinations Set 3

Hello Aspirants. Welcome to Online Reasoning Section in AffairsCloud.com. Here we are creating question sample in coded Permutations & Combinations, which is common for all the  competitive exams. We have included Some questions that are repeatedly asked in bank exams !!

1. In how many ways can 3 prizes be given away to 12 students when each student is eligible for all the prizes ?
A.1234
B.1728
C.5314
D.1331
E.None of these
Explanation :
12^3 = 1728
2. Total no of ways in which 30 sweets can be distributed among 6 persons ?
A.35 C 5
B.36 C 5
C.36 C 6
D.35!/5!
E.None of these
Answer – A. 35 C 5
Explanation :
30+6-1 C 6-1 = 35 C 5
3. A bag contains 4 red balls and 5 black balls. In how many ways can i make a selection so as to take atleast 1 red ball and 1 black ball ?
A.564
B.345
C.465
D.240
E.None of these
Explanation :
2 4-1 = 16 -1 = 15
2 5-1 = 32 -1 = 31
15*31 = 465
4. In how many ways can 7 beads be strung into necklace ?
A.2520
B.5040
C.720
D.360
E.None of these
Explanation :
No of way in Necklace = (n-1)!/2 = 6!/2
= 720/2 = 360
5. Find the no of 3 digit numbers such that  atleast one of the digit is 6 (with repetitions) ?
A.252
B.345
C.648
D.560
E.None of these
Explanation :
Total no of 3 digit number = 9*10*10 = 900
No of 3 digit number- none of the digit is 6 = 8*9*9 = 648
No of 3 digit number – atleast one digit is 6 = 900-648 = 252
6. In how many ways  can 7 girls and 4 boys stand in a row so that no 2 boys are together ?
A.8467200
B.9062700
C.7407000
D.8407200
E.None of these
Explanation :
No of ways = 7!*8P4
7! = 5040
8P4 = 8*7*6*5 = 1680
No of ways = 5040*1680 = 8467200
7. In how many ways the letters of the word PERMUTATION be arranged ?
A.10!/2!
B.10!
C.11!
D.11!/2!
E.None of these
Explanation :
No of ways = 11!/2!
8. How many numbers can be formed with the digits 1, 7, 2, 5 without repetition ?
A.89
B.56
C.64
D.72
E.None of these
Explanation :
1 digit number = 4
2 digit no = 4*3 = 12
3 digit no = 4*3*2 = 24
4 digit no = 4*3*2*1 = 24
Total = 4+12+24+24 = 64
9. There are 3 boxes and 6 balls. In how many ways these balls can be distributed if all the balls and all the boxes are different?
A.243
B.512
C.729
D.416
E.None of these
Explanation : 3^6 = 729
10. In how many ways can 4 books be selected out of 10 books on different subjects ?
A.210
B.320
C.716
D.5040
E.None of these