Home
Class 12
MATHS
Evaluate the following: (i) 6! -5! (i...

Evaluate the following:
(i) `6! -5!` (ii) `(30!)/(28!)`
(iii) `(15!)/(12!3!)` (iv) `(1)/(4!)+(1)/(5!) +(1)/(6!)`

Text Solution

Verified by Experts

455
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section B Objective type questions (One option is correct )|39 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate : (i) (12!)/(10!) (ii) (14!)/(10!5!) (iii) (1)/(4!)+(1)/(5!)+(1)/(6!)+(1)/(7!)

Find the multiple inverse or reciprocal of each of the following : (i) 18 (ii) -16 (iii) (13)/(25) (iv) (-17)/(12) (v) (-6)/(19) (vi) (-3)/(-5) (vii) -1 (viii) 0

Evaluate each of the following : (i)(32)^(1//5)" "(ii)(27)^(-1//3)" "(iii)((16)/(81))^(-1//4)

Find the additive inverse of : (i)5 (ii) -9 (iii) (3)/(14) (iv) (-11)/(15) (v) (15)/(-4) (vi) (-18)/(-13) (vii) 0 (viii) (1)/(-6)

Convert each of the following into an improper fraction: (i) 3(4)/(5) (ii) 6(5)/(8) (iii) 5(7)/(9) (iv) 11(1)/(6)

Find the reciprocal of each of the following: (i) 12 " " (ii) -8" " (iii) (5)/(6) " " (iv) (-14)/(17)

Find the octant in which the following points lie : (i) (2,3,-5) (ii) (-3,1,4) (iii) (-1,-1,2) (iv) (1,1,3) (v) (-5,-4,-1) (vi) (4,-1,2)

Evaluate: (i) 4 ^(-3) (ii) ((1)/(2 )) ^(-5) (iii) ((4)/(3))^(-3) (iv) (-3) ^(4) (v) ((-2)/(3)) ^(-5)

Evaluate: (i) 5 ^(-3) " " (ii) ((1)/(3))^(-4) " "(iii) ((5)/(2))^(-3)" "(iv)(-2)^(-5)" "(v) ((-3)/(4)) ^(-4)

Find the value of each of the following: ( i ) 8^(@) ( ii ) (-3)^(@) ( iii ) 4^(@)+5^(@) ( iv ) 6^(@) xx 7^(@)

AAKASH INSTITUTE-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. How many different numbers lesser than 10000 can be formed from the d...

    Text Solution

    |

  2. How many numbers can be formed with digits 3,4,6,and 8 without repetit...

    Text Solution

    |

  3. Evaluate the following: (i) 6! -5! (ii) (30!)/(28!) (iii) (15!)/(...

    Text Solution

    |

  4. Evaluate : (1)/(3!)+(1)/(4!)+(1)/(5!)

    Text Solution

    |

  5. Convert into factorials 3.6.9.12.15.18.21

    Text Solution

    |

  6. Convert into factorials : 2.4.6.8.10.12……..50

    Text Solution

    |

  7. Evaluate : (n!)/((n-r)!) where n=5,r=2

    Text Solution

    |

  8. Evaluate (n!)/(r!(n-r)!), where n=15,r=4

    Text Solution

    |

  9. Evaluate ""^(20)P(3)

    Text Solution

    |

  10. Evaluate ""^(5)P(3)xx""^(7)P(3)

    Text Solution

    |

  11. Find n, if ""^(n)P(5)=42 ""^(n)P(3), n ge 5

    Text Solution

    |

  12. Show that ""^(n)P(n)=2""^(n)P(n-2)

    Text Solution

    |

  13. In how many ways, the letter of word NUMBER can be arranged ?

    Text Solution

    |

  14. In how many ways, the letters of word FRACTION can be arranged ?

    Text Solution

    |

  15. How many numbers lying between 100 and 1000 can be formed with the dig...

    Text Solution

    |

  16. How many four digit numbers are there in all?

    Text Solution

    |

  17. How many permulations of the letters of the word KARNAL are there ?

    Text Solution

    |

  18. How many words can be formed using the letters E twice , the letter C ...

    Text Solution

    |

  19. Find the number of words formed by permuting all letters of the word I...

    Text Solution

    |

  20. Find the number of different words formed with the letters of the word...

    Text Solution

    |