Home
Class 11
MATHS
If \ ^(24)Cx=\ ^(24)C(2x+3) find x...

If `\ ^(24)C_x=\ ^(24)C_(2x+3) ` find x

Text Solution

AI Generated Solution

To solve the equation \( \binom{24}{x} = \binom{24}{2x + 3} \), we can use the property of combinations that states \( \binom{n}{r} = \binom{n}{n - r} \). ### Step-by-step Solution: 1. **Set up the equation**: We start with the equation given in the problem: \[ \binom{24}{x} = \binom{24}{2x + 3} ...
Promotional Banner

Topper's Solved these Questions

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos
  • COMPLEX NUMBERS

    RD SHARMA|Exercise Solved Examples And Exercises|267 Videos

Similar Questions

Explore conceptually related problems

Verify Rolle's theorem for the function f(x) = x^(3) - 9x^(2) + 26x -24 in the interval [2.4]

If f(x)=x^(3)-9x^(2)+24x, then f

If f(x)=x^(3)-9x^(2)+24x, then f

Find the product 24x^(24)(1 - 2x) and evaluate it for x = 2.

Find the product 24x^(2)(1-2x) and evaluate its value for x=3.

Find the value of c, of mean value theorem.when (a) f(x) = sqrt(x^(2)-4) , in the interval [2,4] (b) f(x) = 2x^(2) + 3x+ 4 in the interval [1,2] ( c) f(x) = x(x-1) in the interval [1,2].

If sqrt(4x^(4) + 12x^(3) + 25x^(2) + 24x + 16) = ax^(2) + bx + c , then which of the following is true ?

RD SHARMA-COMBINATIONS-Solved Examples And Exercises
  1. If \ ^(16)Cr=\ \ ^(16)C(r+2), find '^r C4

    Text Solution

    |

  2. If \ ^n C4=\ \ ^n C6, find. ^(12)Cndot

    Text Solution

    |

  3. If \ ^(24)Cx=\ ^(24)C(2x+3) find x

    Text Solution

    |

  4. If \ ^(15)C(3r)=\ ^(15)C(r+3),find r

    Text Solution

    |

  5. If \ ^(15)Cr :\ ^(15)C(r-1)=11 :5 find r

    Text Solution

    |

  6. If \ ^(28)C(2r):\ ^(24)C(2r-4)=225 : 11 ,find r

    Text Solution

    |

  7. If \ ^(2n)C3:\ ^n C2=44 :3, find n

    Text Solution

    |

  8. If alpha=\ \ ^m C2,\ then find the value of \ ^(alpha)C2dot

    Text Solution

    |

  9. For all positive integers n , show that \ ^(2n)Cn+\ ^(2n)C(n-1)=1/2(\ ...

    Text Solution

    |

  10. From a class of 32 students, 4 are to be chosen for a competition. In ...

    Text Solution

    |

  11. Three gentlemen and three ladies are candidates for two vacancies. A ...

    Text Solution

    |

  12. If there are 12 persons in a party, and if each two of them shake hand...

    Text Solution

    |

  13. A question paper has two parts, Part A and party B each containing 10 ...

    Text Solution

    |

  14. In how many ways a committee of 5 member can be selected from 6 men an...

    Text Solution

    |

  15. A committee of 3 persons is to be constituted from a group of 2 men...

    Text Solution

    |

  16. What is the number of ways of choosing 4 cards from a pack of 52 pl...

    Text Solution

    |

  17. Out of 5 men and 2 women, a committee of 3 is to be formed. In how man...

    Text Solution

    |

  18. For the post of 5 teachers, there are 23 applicants, 2 posts are re...

    Text Solution

    |

  19. How many triangles can be formed by joining the vertices of a hexagon?

    Text Solution

    |

  20. A polygon has 44 diagonals. The number of its sides are

    Text Solution

    |