Home
Class 11
MATHS
If \ ^(n+1)C3=2.\ \ ^n C2\ t h e n= 3 b...

If `\ ^(n+1)C_3=2.\ \ ^n C_2\ t h e n=` `3` b. `4` c. `6` d. 5

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA ENGLISH|Exercise All Questions|77 Videos

  • COMPLEX NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|269 Videos

Similar Questions

Explore conceptually related problems

If \ ^n C_r+\ ^n C_(r+1)=\ \ ^(n+1)C_x ,\ t h e n x = a. r b. r-1 c. n d. r+1

If ^(n+1)C_3=2.^nC_2, then n= (A) 3 (B) 4 (C) 5 (D) 6

If ^n P_r=960 and ^n C_r=40 ,then, r= a. 3 b. 4 c. 5 d. 6

If ^n C_3+^n C_4>^(n+1)C_3 , then a. n >6 b. n >7 c. n<6 d. none of these

If \ ^(a^2-a)C_2=\ \ ^(a^2-a)C_4\ t h e n \ value\ of\ a\ is\ = a. 2 b. 3 c. 4 d. none of these

[(^nC_0+^n C_3+)-1/2(^n C_1+^n C_2+^n C_4+^n C_5]^2 + 3/4(^n C_1-^n C_2+^n C_4 +)^2= a. 3 b. 4 c. 2 d. 1

The value of |[1, 1 ,1],[\ ^n C_1,\ ^(n+2)C_1,\ ^(n+4)C_1],[\ ^n C_2,\ ^(n+2)C_2,\ ^(n+4)C_2]| is (a) 2 (b) 4 (c) 8 (d) n^2

If the sum of n terms of an A.P. is 2n^2+5n ,\ then its nth term is a. 4n-3 b. 3n-4 c. 4n+3 d. 3n+4

If .^(n)P_(3)+.^(n)C_(n-2)=14n , the value of n is (a) 5 (b) 6 (c) 8 (d) 10

If a=3^(-3)-3^3\ a n d\ b=3^3-3^(-3),\ t h e n a/b-b/a (a) 0 (b) 1 (c)-1 (d) 2

RD SHARMA ENGLISH-COMBINATIONS-All Questions
  1. If \ ^(20)C(r+1)=\ \ ^(20)C(r-1),\ t h e n\ r is equal to a. 10 b. 11 ...

    Text Solution

    |

  2. If C(n , 12)=C(n ,8),\ t h e n\ C(22 , n) is equal to a. 132 b. 210 c....

    Text Solution

    |

  3. If \ ^m C1=\ \ ^n C2 then which is correct a. 2m=n b. 2m=n(n+1) c. 2m...

    Text Solution

    |

  4. If \ ^n C(12)=\ \ ^n C8 then = a. 20 b. 12 c. 6 d. 30

    Text Solution

    |

  5. If \ ^n Cr+\ ^n C(r+1)=\ \ ^(n+1)Cx ,\ t h e n x = a. r b. r-1 c. n d...

    Text Solution

    |

  6. If \ ^(a^2-a)C2=\ \ ^(a^2-a)C4\ t h e n \ value\ of\ a\ is\ = a. 2 b....

    Text Solution

    |

  7. \ ^5C1+\ ^5C2+\ ^5C3+\ ^5C4+\ ^5C5 is equal to a 30 b. 31 c. 32 d. 33

    Text Solution

    |

  8. Total number of words formed by 2 vowels and 3 consonants taken from 4...

    Text Solution

    |

  9. There are 12 points in a plane. The number of the straight lines joini...

    Text Solution

    |

  10. There persons enter a railway compartment. If there are 5 seats vacant...

    Text Solution

    |

  11. In how many ways can a committee of 5 be made out of 6 men and 4 women...

    Text Solution

    |

  12. There are 10 points in a plane and 4 of them are collinear. The number...

    Text Solution

    |

  13. There are 13 players of cricket, out of which 4 are bowlers. In how ...

    Text Solution

    |

  14. The number of ways in which a host lady can invite for a party of 8 ou...

    Text Solution

    |

  15. How many different committees of 5 can be formed from 6 men and 4 wome...

    Text Solution

    |

  16. The number of diagonals that can be drawn by joining the vertices of a...

    Text Solution

    |

  17. If \ ^(43)C(r-6)=\ ^(43)C(3r+1)\ then the value of r is a. 12 b. 8 c....

    Text Solution

    |

  18. A lady gives a dinner party for six guests. The number of ways in whic...

    Text Solution

    |

  19. If \ ^(n+1)C3=2.\ \ ^n C2\ t h e n= 3 b. 4 c. 6 d. 5

    Text Solution

    |

  20. The number of parallelograms that can be formed form a set of four ...

    Text Solution

    |