Home
Class 11
MATHS
The number of even divisor of the number...

The number of even divisor of the number `N=12600=2^3 3^2 5^2 7` is
a. `72` b. `54` c. `18` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE ENGLISH|Exercise All Questions|173 Videos

  • PROBABILITY

    CENGAGE ENGLISH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The number of odd divisor of the number N=2^(10). 3^5 .7^2, are a. 16 b. 17 c. 18 d. 20

Statement-1: the number of even divisors of the number N=12600 is 54. Statement-2: 0,2,4,6,8, . . . Are even integers.

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

The number of even divisors of 10800 is (a) 16 (c) 36 (b) 31 (d) 48

A 2n digit number starts with 2 and all its digits are prime, then the probability that the sum of all 2 consecutive digits of the number is prime is a. 4xx2^(3n) b. 4xx2^(-3n) c. 2^(3n) d. none of these

The number of arrangements of the letters of the word BHARAT taking 3 at a time is a. 72 b. 120 c. 14 d. none of these

The total number of divisor of 480 that are of the form 4n+2,ngeq0, is equal to a. 2 b. 3 c. 4 d. none of these

A four figure number is formed of the figures 1, 2, 3, 4, 5 with no repetitions. The probability that the number is divisible by 5 is 3//4 b. 1//4 c. 1//8 d. none of these

The number of ways in which the digits of the number 125453752 can be rearranged such that no two 5's come together is (A) (9!)/(3!2!) (B) (7!)/(3!2!) (C) (.^7C_3⋅6!)/(2!) (D) none of these

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Two teams are to play a series of five matches between them. A matc...

    Text Solution

    |

  2. Prove that if rlt=slt=n ,t h e n^n Ps is divisible by ^n Pr .

    Text Solution

    |

  3. The number of even divisor of the number N=12600=2^3 3^2 5^2 7 is a. ...

    Text Solution

    |

  4. Find the number of zeros at the end of 130!.

    Text Solution

    |

  5. A candidate is required to answer 6 out of 10 questions, which are ...

    Text Solution

    |

  6. Find the exponent of 3 in 100!

    Text Solution

    |

  7. Number of ways in which two persons A and B select objects from two ...

    Text Solution

    |

  8. If "^10 Pr=5040 , find the value of r.

    Text Solution

    |

  9. Statement 1: Number of ways of selecting 10 objects from 42 objects...

    Text Solution

    |

  10. Find the number of zeros at the end in product 5^6 .6^7 .7^8 .8^9 .9^(...

    Text Solution

    |

  11. Statement 1: Number of ways in which Indian team (11 players) can b...

    Text Solution

    |

  12. In how any different ways can a set A of 3n elements be partitioned in...

    Text Solution

    |

  13. Statement 1: When number of ways of arranging 21 objects of which r...

    Text Solution

    |

  14. lf a ,b , in {1,2,3,4,5,6,}, find the number of ways a and b can be ...

    Text Solution

    |

  15. Statement 1: let E={1,2,3,4}a n dF={a ,b}dot Then the number of on...

    Text Solution

    |

  16. In how many ways can Rs. 16 be divided into 4 persons when none of the...

    Text Solution

    |

  17. Statement 1: Number of ways in which India can win the series of 11...

    Text Solution

    |

  18. Find the number ordered pairs (x,y) if x, y in {0,1,2,3,..,10} and if ...

    Text Solution

    |

  19. Statement 1: If p ,q ,ltr , the number of different selections of p+...

    Text Solution

    |

  20. n different toys have to be distributed among n children. Total number...

    Text Solution

    |