Home
Class 12
MATHS
At an election , a voter may vote for a...

At an election , a voter may vote for any number of candidates , not greater than the number to be elected . There are 10 candidates and 4 are to be elected , If a voter votes for at least one candidates, then the number of ways in which he can vote is :

A

5040

B

6210

C

385

D

1110

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

Similar Questions

Explore conceptually related problems

In an election, the number of candidates is one greater than the persons to be elected. If a voter can vote in 254 ways, the number of candidates is

Six X ' s have to be placed in the squares of the figure given below such that each row contains at least one X . Th number of ways in which this can be done is :

There are 10 lamps in a hall . Each one of them can be switched on independently . The number of ways in which the be illuminated is

There are 10 true-false questions in an examination. The number of ways in which these questions can be answered is

A student is allowed to select at most n books from a collection of (2n+1) books. If the total number of ways in which he can select the books is 63, then n is :

Five distinct letters are to be transmitted through a communication channel. A total number of 15 blanks is to be inserted between the two letters with at least three between every two. The number of ways in which this can be done is :

There are 2n guests at a dinner party. Supposing that eh master and mistress of the house have fixed seats opposite one another and that there are two specified guests who must not be placed next to one another, show that the number of ways in which the company can be placed is (2n-2!)xx(4n^2-6n+4)dot

The number of ways in which any four letters can be selected from the word CORGOO is

A group consists of 7 boys and 5 girls . Find the number of ways in which a team of 5 members can be selected so as to have atleast one boy and girl.

In an examination, the maximum marks for each of the three papers are 50. Maximum marks for the fourth paper are 100. Find the number of ways in which the candidate can score 60% marks in aggregate.

HIMALAYA PUBLICATION-PERMUTATION AND COMBINATIONS-Question Bank
  1. How many ways are there to arrange the letters in the word ' GARDEN ' ...

    Text Solution

    |

  2. If the letters of the word ' SACHIN ' are arranged in all possible way...

    Text Solution

    |

  3. At an election , a voter may vote for any number of candidates , not...

    Text Solution

    |

  4. The set S={1,2,3,…, 12} is to be partioned into three sets A,B, C of e...

    Text Solution

    |

  5. How many different words can be formed by jumbling the letters of word...

    Text Solution

    |

  6. From 6 different novels and 3 different dictionaries , 4 novels 1 dict...

    Text Solution

    |

  7. There are two urns. UrnA has. 3 distinct red balls and urn B has 9 dis...

    Text Solution

    |

  8. The number of straight lines can be formed through any two points out ...

    Text Solution

    |

  9. The total number of arrangements of the letters in the expansion a^3b^...

    Text Solution

    |

  10. A lady gives a dinner party to 5 guests to be selected from nine frien...

    Text Solution

    |

  11. The number of ways of selecting 10 balls from unlimited number of red,...

    Text Solution

    |

  12. Ten different letters of an alphabet are given . Words with five lette...

    Text Solution

    |

  13. If n ge r then r C(r)+(r+1) C(r)+(r+2) C(r)+.. ..+n C(r)=

    Text Solution

    |

  14. A convex polygon has 44 diagonals. Find the number of sides.

    Text Solution

    |

  15. There are 'n' seats round a table numbered 1,2, 3,….,n. The number of...

    Text Solution

    |

  16. A rectangle with sides of lengths (2 n-1) and (2 m-1) units is divided...

    Text Solution

    |

  17. A set contains (2 n+1) elements. The number of subsets of this set con...

    Text Solution

    |

  18. There are 10 true-false questions in an examination. The number of way...

    Text Solution

    |

  19. The value of 1 .1 !+2 .2 !+3 .3 !+..+n .n ! is

    Text Solution

    |

  20. Let A and B be two sets consisting of m and n elements respectively (n...

    Text Solution

    |