Home
Class 11
MATHS
Prove that ^9p5+5^9p4=(10!)/(5!)...

Prove that `^9p_5+5^9p_4`=`(10!)/(5!)`

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    A N EXCEL PUBLICATION|Exercise QUESTION PAPER|45 Videos

  • PRINCIPLE OF MATHEMATICL INDUCTION

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

Prove that the points (2,3), (7,5),(9,8), (4,6) are the corners of a parallelogram.

Prove 'that 10^n+3 xx 4^(n+2)+5 is divisible by 9 .

If ^9p_5+5^9p_4=^10p_r .prove that r=5

If 4x^(2) +py^(2) = 45 and x ^(2) - 4y^(2) = 5 cut orthogonally , then the value of p is : a) (1)/(9) b) (1)/(3) c)3 d)9

Let P be a point on an ellipse at a distance of 8 units from a focus. If the eccentricity is (4)/(5) , then the distance of the point P from the directrix is a) (5)/(8) b) (8)/(3) c)5 d)10

Evalute the following: 9P_4

Find n , if overset(9) P_5+ 5.overset(9) P_4= overset(10) P_n

Given that P (3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear. Find the ratio in which Q divides PR.

Given the points P(1,-1,3), Q(2,-4,5) and R(5,-13,11) Prove that P,Q,R are collinear

A N EXCEL PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. Given that P(n, r)=n(n-1)(n-2)….to r factors What are the values of P(...

    Text Solution

    |

  2. Given that P(n, r)=n(n-1)(n-2)….to r factors If P(n, 4) = 20 P(n, 2),...

    Text Solution

    |

  3. Prove that ^9p5+5^9p4=(10!)/(5!)

    Text Solution

    |

  4. If ^9p5+5^9p4=^10pr.prove that r=5

    Text Solution

    |

  5. Prove that ""^(2n+1)P(n-1)=((2n+1)!)/((n+2)!) and ""^(2n-1)Pn=((2n-1)...

    Text Solution

    |

  6. if ^(2n+1)p(n-1):^(2n-1)pn=3:5, prove that n = 4

    Text Solution

    |

  7. In how many ways ‘n’ objects can be arranged together in a line?

    Text Solution

    |

  8. For a group photograph, 3 boys and 2 girls stand in a line in all poss...

    Text Solution

    |

  9. Consider the word ‘LOGARITHMS' How many distinct letters are there in ...

    Text Solution

    |

  10. Consider the word ‘LOGARITHMS' How many 4 letter words, with or withou...

    Text Solution

    |

  11. Consider the word ‘LOGARITHMS' How many 4 letter words, with or withou...

    Text Solution

    |

  12. Consider the word ‘RESHMA’ How many distinct letters are there in the...

    Text Solution

    |

  13. Consider the word ‘RESHMA’ How many vowels are there in the given wor...

    Text Solution

    |

  14. Consider the word ‘RESHMA’ How many different words can be formed usi...

    Text Solution

    |

  15. Consider the word ‘RESHMA’ How many different words can be formed usin...

    Text Solution

    |

  16. Consider the word ‘RESHMA’ How many different words can be formed usin...

    Text Solution

    |

  17. In a certain city, all telephone numbers have six digits How many tele...

    Text Solution

    |

  18. In a certain city, all telephone numbers have six digits If repetition...

    Text Solution

    |

  19. In a certain city, all telephone numbers have six digits How many tele...

    Text Solution

    |

  20. Suppose that words are formed by permuting all the letters of the word...

    Text Solution

    |