Permutation and Combination - Algebra -Single Correct Type Questions(JEE ADVANCED) Part 1

 Q.1

Correct Answer is:B
Solution Explain:












Q.2

Correct Answer is:D
Solution Explain:











Q.3

Correct Answer is:B
Solution Explain:









Q.4

Correct Answer is:A
Solution Explain:











Q.5

Correct Answer is:B
Solution Explain:










Q.6

Correct Answer is:A
Solution Explain:







Q.7

Correct Answer is:A
Solution Explain:

No required flags = 3! × coefficent of X3 in (1+ X+X2/2!)3= 6 ×4 = 24










Q.8

Correct Answer is:D
Solution Explain:










Q.9

Correct Answer is:A
Solution Explain:






Q.10

Correct Answer is:B
Solution Explain:









Q.11

Correct Answer is:B
Solution Explain:












Q.12

Correct Answer is:C
Solution Explain:

Out of the given numbers, the numbers which are multiple of 5 are 5,15,25.....145

This is an AP whose first term a=5

Common difference =10

nth term, tn=145

145=5+ (n−1) ×10

⇒n=15

Similarly if total number of numbers is m then

151=1+ (m−1) ×2

m−1=151−12

m=76

So number of ways in which product is a multiple of 5

⇒⇒ Both two numbers from 5, 15, 25....145+one number from 5, 15, 25,....145 and one from remaining numbers

15C15C1 × 61C1

⇒15×7 + 15×61 = 1020












Q.13

Correct Answer is:D
Solution Explain:











Q.14

Correct Answer is:C
Solution Explain:









Q.15

Correct Answer is:C
Solution Explain:











Q.16

Correct Answer is:D
Solution Explain:












Q.17

Correct Answer is:A
Solution Explain:












Q.18

Correct Answer is:D
Solution Explain:











Q.19

Correct Answer is:A
Solution Explain:










Q.20

Correct Answer is:A
Solution Explain:











Q.21

Correct Answer is:A
Solution Explain:









Q.22

Correct Answer is:C
Solution Explain:










Q.23

Correct Answer is:C
Solution Explain:










Q.24

Correct Answer is:D
Solution Explain:









Q.25

Correct Answer is:C
Solution Explain:









Q.26

Correct Answer is:A
Solution Explain:











Q.27

Correct Answer is:B
Solution Explain:










Q.28

Correct Answer is:A
Solution Explain:










Q.29

Correct Answer is:B
Solution Explain:










Q.30

Correct Answer is:B
Solution Explain:








Q.31

Correct Answer is:B
Solution Explain:









Q.32

Correct Answer is:B
Solution Explain:









Q.33

Correct Answer is:C
Solution Explain:











Q.34

Correct Answer is:B
Solution Explain:










Q.35

Correct Answer is:B
Solution Explain:








Q.36

Correct Answer is:B
Solution Explain:











Q.37

Correct Answer is:B
Solution Explain:






Q.38

Correct Answer is:B
Solution Explain:










Q.39

Correct Answer is:D
Solution Explain:













Q.40

Correct Answer is:A
Solution Explain:






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