Home
Class 12
MATHS
Let S1=((4!)!)/(4!)^(3!) and S2=((5!)!)/...

Let `S_1=((4!)!)/(4!)^(3!)` and `S_2=((5!)!)/(5!)^(4!)` then

A

`S_1 in N and S_2 notin N`

B

`S_1 in N and S_2 in N`

C

`S_1 notin N and S_2 notin N`

D

`S_1 notin N and S_2 in N`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

Similar Questions

Explore conceptually related problems

Let alpha=((4!)!)/((4!)^(3!)) and beta=((5!)!)/((5!)^(4!)) .Then:

Let S=x-(x^(3))/(3!)+(x^(5))/(5!) … and C=1-(x^(2))/(2!)+(x^(4))/(4!) Then,

If S = (7)/(5) + (9)/(5^(2)) + (13)/(5^(3)) + (19)/(5^(4)) + …., then 160 S is equal to ________ .

S_(1)={2},S_(2)={(3)/(2),(4)/(2)},S_(3)={(4)/(4),(5)/(4),(6)/(4)},S_(4)={(5)/(8),(6)/(8),(7)/(8),(8)/(8)}, then the sum of numbers in S_(20) is

The sets S_(1),S_(2),S_(3),............ are given by S_(1)={(2)/(1)},S_(2)={(3)/(2),(5)/(2)},S_(3)={(4)/(3),(7)/(3)},S_(4)={(5)/(4),(9)/(4),(13)/(4),(17)/(4)},.... Then the sum of the numbers in the set S_(25) is 320(b)322(c)326 (d) 325

Let S_1 = 4+6/3+8/3^2+10/3^3+...+oo and S_2 =sum_(n=1)^oo 1/((3n+1)(3n+4)), then the value of the S_1/(10 S_2) is

Let S_(n)=1+2+3+...+n and P_(n)=(S_(2))/(S_(2)-1)*(S_(3))/(S_(3)-1)*(S_(4))/(S_(4)-1)...(S_(n))/(S_(n)-1) Where n in N,(n>=2). Then lim_(x rarr oo)P_(n)=

If S_(1), S_(2), S_(3),….., S_(n) are the sum of infinite geometric series whose first terms are 1,3,5…., (2n-1) and whose common rations are 2/3, 2/5,…., (2)/(2n +1) respectively, then {(1)/(S_(1) S_(2)S_(3))+ (1)/(S_(2) S_(3) S_(4))+ (1)/(S_(3) S_(4)S_(5))+ ........."upon infinite terms"}=

Let S_(n)(n<=1) be a sequence of sets defined by S_(1){0},S_(2)={(3)/(2),(5)/(2)},S_(3)={(15)/(4),(19)/(4),(23)/(4),(27)/(4)}

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024-Questions
  1. Let S1=((4!)!)/(4!)^(3!) and S2=((5!)!)/(5!)^(4!) then

    Text Solution

    |

  2. If f(x)={(-2,,,-2,le,x, <,0),(x-2,,,0,le,x, le,2):} and h(x) = f(|x|) ...

    Text Solution

    |

  3. Let ABC be a triangle. If P1, P2, P3, P4, P5 are five points on side A...

    Text Solution

    |

  4. Let y(x) be a curve given by differential equation (dy)/(dx) - y = 1 +...

    Text Solution

    |

  5. Let there are 3 bags A, B and C. Bag contain 5 black balls and 7 red b...

    Text Solution

    |

  6. The number of rational terms in the expansion of (2^(1/2) + 3^(1/3))^(...

    Text Solution

    |

  7. 2 and 6 are roots of the equation ax^2 + bx + 1 = 0 then the quaratic ...

    Text Solution

    |

  8. Let f(x)={(frac{1-cos2x}{x^2},x, <,0),(alpha,x,=,0),(beta (frac{sqrt(1...

    Text Solution

    |

  9. One point of intersection of curve y = 1 + 3x - 2x^2 and y = 1/x is (...

    Text Solution

    |

  10. If alpha and beta are sum and product of non zero solution of the equa...

    Text Solution

    |

  11. If domain of the function f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + l...

    Text Solution

    |

  12. The value of lim(xrarr 4) frac{(5 + x)^(1/3) - (1 + 2x)^(1/3)}{(5 + x)...

    Text Solution

    |

  13. If the function f(x) ={(1/|x|,|x|,ge,2),(zx^2+2b,|x|,<,2):} differenti...

    Text Solution

    |

  14. Let alpha, beta in R. If the mean and the variable of 6 observation, -...

    Text Solution

    |

  15. A square is inclined in the circle x^2 + y^2 - 10 x - 6y + 30 = 0 such...

    Text Solution

    |

  16. Let f(x) = x^5 + 2e^(x/4) AA x in R. Consider a function of (gof) (x) ...

    Text Solution

    |

  17. Let f(x) =frac{2x^2 - 3x + 9} {2x^2 +3x + 4}, x in R, if maximum and m...

    Text Solution

    |

  18. int0^(pi/4) frac{sin^2 x}{1 + sin x. cos x}, dx = 0

    Text Solution

    |

  19. 2, p, q are in G.P. (where p ne q) and in A.P., 2 is third term, p is ...

    Text Solution

    |