Home
Class 12
MATHS
Let A be the set of 4-digit numbers a(1)...

Let A be the set of 4-digit numbers `a_(1)a_(2)a_(3)a_(4)` where `a_(1)gta_(2)gta_(3)gta_(4)` then n(A) is equal to

A

126

B

84

C

210

D

315

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-II|229 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

The number of all the possible triplets (a_(1), a_(2), a_(3)) such that a_(1) + a_(2) cos (2 x) + a_(3) sin^(2) (x)=0 for all x is

If log_(e )((1+x)/(1-x))=a_(0)+a_(1)x+a_(2)x^(2)+…oo then a_(1), a_(3), a_(5) are in

If the coefficients of 4 consecutive terms in the expansion of (1+x)^(n) are a_(1),a_(2),a_(3),a_(4) respectively, then show that (a_(1))/(a_(1)+a_(2))+(a_(3))/(a_(3)+a_(4))=(2a_(2))/(a_(2)+a_(3))

If a_(1), a_(2), a_(3), a_(4) are the coefficients of the 2^(nd), 3^(rd), 4^(th) and 5^(th) terms respectively in the binomial expansion of (1+x)^(n) where n is a positive integer prove that (a_(1))/(a_(1)+a_(2)) , (a_(2))/(a_(2)+a_(3)) , (a_(3))/(a_(3)+a_(4)) are in arithmetic progression.

The number of all three element subsets of set {a_(1),a_(2),a_(3),.......,a_(n)} which contain a_(3) is

If 20% of three element subsets of the set {a_(1),a_(2),a_(3),.......,a_(n)} are three element subsets with an element a_(1) , then n is

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-PRACTICE EXERCISE
  1. The number of ways can 5 red and 4 white balls be drawn from a bag con...

    Text Solution

    |

  2. Every body in a room shakes hands with every body else. The total numb...

    Text Solution

    |

  3. Let A be the set of 4-digit numbers a(1)a(2)a(3)a(4) where a(1)gta(2)g...

    Text Solution

    |

  4. The number of ways in which 5players are selected from 10 players so ...

    Text Solution

    |

  5. Out of 6 gentlmen and 4 ladies a committee of 5 is to be ...

    Text Solution

    |

  6. The number of ways that 6 questions can be chosen out of 9 questions s...

    Text Solution

    |

  7. The number of ways in which 7 players can be selected from a batch of ...

    Text Solution

    |

  8. A person wishes to make up as many different parties of 10 as he can o...

    Text Solution

    |

  9. The number of ways of selecting 6 clerks from 8 male &7 female ap...

    Text Solution

    |

  10. 60 employees are there in a college. The number of ways can a cooperat...

    Text Solution

    |

  11. A candidate is required to anwer 6 questions by choosing atleast one q...

    Text Solution

    |

  12. 15 people are to travel by a bus which can carry 9 inside and 6 outsid...

    Text Solution

    |

  13. A boats crew consists of 16 men , 6 of whom can only row on o...

    Text Solution

    |

  14. There are 20 points in plane no three of which are collinear ....

    Text Solution

    |

  15. There are 21 points in a plane no three of which are collinear. The nu...

    Text Solution

    |

  16. How many stainght lines can be drawn by joning 10 points on a ...

    Text Solution

    |

  17. The number of triangles formed by joining the vertices of a hexag...

    Text Solution

    |

  18. A set of m parallel lines intersect another set of n parallel lines in...

    Text Solution

    |

  19. There are n points in a plane no three of which are in the same...

    Text Solution

    |

  20. There are n points in a plane no three of which are in the same...

    Text Solution

    |