Home
Class 12
MATHS
How many ways are there to arrange ...

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order ?

A

120

B

240

C

360

D

480

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Recent IIT questions

    A DAS GUPTA|Exercise Exercise|20 Videos
  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

Similar Questions

Explore conceptually related problems

How many ways are there to arrange the letters in the word SANDESH with the vowels in alphabetical order?

Number of ways in which the letters of word GARDEN can be arranged with vowels in alphabetical order, is

How many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold ? - the vowels occur in the order (EUAIO) - the consonants occur in the same order (DCTN) - no two consonants are next to each other

If N_(1) is the number of arrangements of the letters of the word 'EQUATION' in which all vowels are together and N_(2) is the number of arrangements of the letters of the word 'PERMUTATION' in which vowels are in alphabetical order, then (4N_(2))/(7N_(1))=

How many different ways are possible to arrange the letters of the word “MACHINE” so that the vowels may occupy only the odd positions

How many words can be formed by arranging the letters of the word 'ARRANGEMENT', so that the vowels remian together?

How many words can be formed by arranging the letters of the word 'INDIA', so that the vowels are never together?

The positions of how many alphabets will remain unchanged if each of the alphabets in the word DYNAMICS is arranged in alphabetical order from left to right?

The positions of how many alphabets will remain unchanged if each of the alphabets in the word 'FORGET' is arranged in alphabetical order from left to right?

A DAS GUPTA-Screening Tests-Exercise
  1. If A=[(alpha , 2),(2,alpha)] and |A^3|=125, then the value of alpha i...

    Text Solution

    |

  2. If a,b,c and d are four positive real numbers such that abcd=1 , what ...

    Text Solution

    |

  3. How many ways are there to arrange the letters in the word G...

    Text Solution

    |

  4. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

    Text Solution

    |

  5. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

    Text Solution

    |

  6. If lim(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and ...

    Text Solution

    |

  7. If int (sin x)/(sin (x-alpha))dx =Ax+B log sin (x-alpha)+C, then the ...

    Text Solution

    |

  8. The solution of the differential equation y dx +(x +x^2 y) dy=0 is

    Text Solution

    |

  9. If theta and phi are positive acute angles satisfying sin theta =1/2 a...

    Text Solution

    |

  10. The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is

    Text Solution

    |

  11. The sides of a triangle are sin alpha, cos alpha and sqrt(1+ sin alpha...

    Text Solution

    |

  12. If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...

    Text Solution

    |

  13. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

    Text Solution

    |

  14. Let vec a , vec b, vec c be three non-zero vectors such that any two ...

    Text Solution

    |

  15. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  16. If three distinct numbers are chosen randomly from the first 100 natur...

    Text Solution

    |

  17. If 4x^4 +9y^4= 64 then the maximum value of x^2+y^2 is (where x and y ...

    Text Solution

    |

  18. If log30(3)=alpha and log30(5)=beta, then log30(8) is equal to

    Text Solution

    |

  19. An infinite G.P has first term x and sum 5 then x belongs to ?

    Text Solution

    |

  20. The number of ways of distributing 8 identical balls in 3 distinct box...

    Text Solution

    |