Home
Class 12
MATHS
If a1,a2,a3,.....,a(n+1) be (n+1) diffe...

If `a_1,a_2,a_3,.....,a_(n+1)` be `(n+1)` different prime numbers, then the number of different factors (other than1) of `a_1^m.a_2.a_3...a_(n+1)`, is

A

(a) `m+1`

B

(b) `(m+1)2^(n)`

C

(c) `m*2^(n)+1`

D

(d) None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 6|27 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|18 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1, a_2,a_3,..........., a_n are in A.P. with common difference d, prove that : sin d [cosec a_1 coseca_2+ coseca_2coseca_3+....coseca_(n-1)coseca_n]= cot a_1-a_n .

If a_1, a_2 , ............, a_n are in A.P.with common difference d ne 0 , then [sin d] [sec a_1 sec a_2 + sec a_2sec a_3+............+ sec a_(n-1) sec a_n] is equal to :

If a_1, a_2, a_3 ......a_n (n>= 2) are real and (n-1) a_1^2 -2na_2 < 0 then prove that at least two roots of the equation x^n+a_1 x^(n-1) +a_2 x^(n-2) +......+a_n = 0 are imaginary.

If a_1, a_2,a_3,..........., a_n be an A.P. of non-zero terms, prove that : 1/(a_1 a_2)+1/(a_2 a_3)+ ............. + 1/(a_(n-1) a_n)= (n-1)/(a_1 a_n) .

Determine the number n in a geometric progression {a_n} , if a_1= 3, a_n= 96 and S_n= 189 .

Consider (1 + x + x^(2))^(n) = sum_(r=0)^(n) a_(r) x^(r) , where a_(0), a_(1), a_(2),…, a_(2n) are real number and n is positive integer. If n is odd , the value of sum_(r-1)^(2) a_(2r -1) is

Find the terms indicated in the following case : a_n =(n-1)(2-n) (3+n), a_1, a_2, a_3 .

Let a_1 , a_2 ... . . a_n be fixed real numbers and define a function f(x)= (x -a_1 )(x-a_2 )...(x -a_n). What is lim_(x rarr a_1)f(x) ? For some a ne a_1,a_2,....a_n , compute lim_(x rarr a)f(x) .

If a_(1),a_(2),a_(3),"….",a_(n) are in AP, where a_(i)gt0 for all I, the value of (1)/(sqrta_(1)+sqrta_(2))+(1)/(sqrta_(2)+sqrta_(3))+"....."+(1)/(sqrta_(n-1)+sqrta_(n)) is

ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise For Session 5
  1. There are 4 oranges, 5 apples and 6 mangoes in a fruit basket and all ...

    Text Solution

    |

  2. In a city no two persons have identical set of teeth and there is no p...

    Text Solution

    |

  3. If a1,a2,a3,.....,a(n+1) be (n+1) different prime numbers, then the n...

    Text Solution

    |

  4. Find the total number of proper factors of the number 35700.

    Text Solution

    |

  5. The sum of the divisors of 2^(5)xx3^(4)xx5^(2), is

    Text Solution

    |

  6. The number of odd proper divisors of 3^(p)*6^(q)*15^(r),AA p,q,r, in N...

    Text Solution

    |

  7. The number of odd proper divisors of 3^(p)*6^(q)*15^(r),AA p,q,r, in N...

    Text Solution

    |

  8. The number of proper divisors of 1800, which are also divisible by 10,...

    Text Solution

    |

  9. Total number of divisors of 480 that are of the form 4n+2, n ge 0, is...

    Text Solution

    |

  10. Total number of divisors of N=2^(5)*3^(4)*5^(10)*7^(6) that are of the...

    Text Solution

    |

  11. Total number of divisors of n = 3^5. 5^7. 7^9 that are in the form of ...

    Text Solution

    |

  12. In how many ways 12 different books can be distributed equally among 3...

    Text Solution

    |

  13. Number of ways in which 12 different things can be distributed in 3 gr...

    Text Solution

    |

  14. Number of ways in which 12 different things can be divided among five ...

    Text Solution

    |

  15. Number of ways in which 12 different things can be divided among five ...

    Text Solution

    |

  16. The total number of ways in which 2n persons can be divided into n ...

    Text Solution

    |

  17. n different toys have to be distributed among n children. Find the num...

    Text Solution

    |

  18. In how any ways can 8 different books be distributed among 3 students ...

    Text Solution

    |