Home
Class 11
MATHS
At an election, a voter may vote for any...

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. The number of ways in which a voter may vote for at least one candidate is- (A) 5040 (B) 6210 (C) 385 (D) 1110

A

5040

B

6210

C

385

D

1110

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|221 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

Similar Questions

Explore conceptually related problems

At an election, a voter may vote for any number of candidates not greater than the number to be chosen. There are 7 candidates and 4 members are to be chosen. In how many ways can a person vote ?

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

Five persons entered the lift cabin on the ground floor of a 8 floor house. Suppose each of them can leave the cabin independently at any floor beginning with the first. The total number of ways in which each of the five person can leave the cabin at any one of the 7 floor, is (a) 5^(7) (b) 7^(5) (c) 35 (d) 2520

Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover cards numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done is a. 264 b. 265 c. 53 d. 67

In a multiple choice question, there are five alternative answers of which one or more than one are correct. A candidate will get marks on the question, if he ticks all the correct answers. If he decides to tick answer all random, then the least number of choices should he be allowed, so that the probability of his getting marks on the question exceeds (1)/(8) is

The number of nine nonzero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is a. 2(4!) b. 3(7!)//2 c. 2(7!) d. ‎ ^4P_4xx^4P_4

A man has three friends. The number of ways he can invite one friend everyday for dinner on six successive nights so that no friend is invited more than three times is a. 640 b. 320 c. 420 d. 510

The pie chart gives the information of the number of votes obtained by five schools leaders, who contested for school elections. The total votes polled were 540. (a) Who won the elections? (b) By how many votes did the winner defeat the nearest rival? (c ) Who got the least number of votes?

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. ((n-2)/4)^ if n is even c. ((n-1)/4)^2 if n is odd d. none of these

The number of four-digit numbers that can be made with the digits 1, 2, 3, 4, and 5 in which at least two digits are identical is a. 4^5-5! b. 505 c. 600 d. none of these

MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If the coefficient of x^(7) " in " (ax^(2) + (1)/(bx))^(11) is equal ...

    Text Solution

    |

  2. The value of {:((30), (0))((30), (10))-((30), (1))((30),( 11)) +((30),...

    Text Solution

    |

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

    Text Solution

    |

  4. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

    Text Solution

    |

  5. The letters of the word COCHIN are permuted and all the permutations a...

    Text Solution

    |

  6. The sum of series .^(20)C0-^(20)C1+^(20)C2-^(20)C3+....+^(20)C 10 is

    Text Solution

    |

  7. In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...

    Text Solution

    |

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

    Text Solution

    |

  9. The number of 7-digit integers, with sum of the digits equal to 10 and...

    Text Solution

    |

  10. The remainder left out when 8^(2n) - (62)^(2n +1) is divided by 9 , i...

    Text Solution

    |

  11. From 6 different novels and 5 different dictionaries, 4 novels and 1 d...

    Text Solution

    |

  12. There are two urns. Urn A has 4 distinct red balls and urn B has 5 dis...

    Text Solution

    |

  13. There are 10 points in a plane, out of these 6 are collinear. If N is ...

    Text Solution

    |

  14. For r = 0 ,1,2,…, 10 , letA(r), B(r) "and " C(r) denote respectively ,...

    Text Solution

    |

  15. The coefficient of x^(7) in the expansion of (1 - x- x^(2) + x^(3...

    Text Solution

    |

  16. Find the number of ways in which five identical balls can be distribut...

    Text Solution

    |

  17. A committee of 12 is to be formed from nine women and eight men. In ho...

    Text Solution

    |

  18. A committee of 12 is to be formed from nine women and eight men. In ho...

    Text Solution

    |

  19. A question paper consists of two sections having respectively 3 and 4 ...

    Text Solution

    |

  20. Let R =(5 sqrt5+11)^(2n+1) and and f=R-[R], where [ ] denotes the grea...

    Text Solution

    |