Combinations, Class 11 Mathematics NCERT Solutions

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. C(n,12) = C(n,8)
N = ?

 12

 20

 10

 14

Question 1 of 20

2. In a college there are 20 professors including the principal and the vice principal. A committee of 5 is to be formed. In how many ways it can be formed so that neither the principal nor the vice principal is included?

 C(18,2)

 C(20,2)

 C(20,18)

 C(18,5)

Question 2 of 20

3. What is the number of diagonals that can be drawn by joining the vertices of a hexagon?

 5

 12

 9

 14

Question 3 of 20

4. Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?

 64

  63

  2⁵

 2⁴

Question 4 of 20

5. If C(n,4) = 495. Find n.

 10

 12

 16

 14

Question 5 of 20

6. If then n is

 8

 10

 8

 2

Question 6 of 20

7.

⁸C_r = ⁸C_p. So

  r = p or r = 8p

 r = p or r + p = 8

 r = p or r – p = 8

  r = p or r = 2p

Question 7 of 20

8. What is the number of ways of choosing 6 cards from a pack of 52 playing cards?

 A

 B

 C

 D

Question 8 of 20

9. If =c . Find c.

 36

 14

 18

 24

Question 9 of 20

10. In how many ways can a cricket team be selected out of 15 players if a particular player has to be included?

 C(14,11)

 C(14,10)

 C(15,11)

 C(15,10)

Question 10 of 20

11. How many chords can be drawn through 10 points on a circle?

 45

 20

  40

 10!

Question 11 of 20

12. What is the value of .

 n

  n(n – 1)

 n!

 1

Question 12 of 20

13. Find the number of ways in which 5 students can be selected out of a class of 15.

 120

 3000

 3003

 15!

Question 13 of 20

14. C(20,r) = C(20, r + 2)

What is the value of C(r,6) ?

  84

 24

  48

 12

Question 14 of 20

15. A group consists of 4 girls and 7 boys. in how many ways a team of 5 members be selected consisting of 2 girls and 3 boys.

 2! x 3!

  120 ways

 ¹¹C₅

 210 ways

Question 15 of 20

16. In how many ways can an examinee choose 5 questions out of 8 in a paper of Physics?

 7!

 42

 56

 8!

Question 16 of 20

17. How many triangles can be formed by joining four points on a circle?

 8

 2

 6

 4

Question 17 of 20

18. In how many ways can one select a cricket team of eleven from 13 players in which only 5 players can bowl. If each cricket team of 11 must include at least 4 bowlers.

 28

  40

  12

 68

Question 18 of 20

19. A committee consists of 5 students 3 girls and 2 boys. If the team is to be formed out of 7 boys and 5 girls, then how many ways this selection can be made?

 C(7,3) × C(5,2)

  C(7,5) × C(3,2)

  C(7,2) × C(5,3)

 C(5,7) × C(2,3)

Question 19 of 20

20. Find the number of diagonals of an n-sided polygon.

 A

 B

 C

 D

Question 20 of 20

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