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If ((2n)!)/(3!(2n-3)!)a n d(n !)/(2!(n-2...

If `((2n)!)/(3!(2n-3)!)a n d(n !)/(2!(n-2)!)` are in the ratio `44 :3,` find `ndot`

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To solve the problem, we need to find the value of \( n \) given that the expressions \[ \frac{(2n)!}{3!(2n-3)!} \quad \text{and} \quad \frac{n!}{2!(n-2)!} \] are in the ratio \( 44:3 \). ...
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RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. Find n , if (n+2)! =2550xxn ! (ii) (n+1)! =12xx(n-1)!

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  2. If 1/(9!)+1/(10 !)=x/(11 !) , find xdot

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  3. If ((2n)!)/(3!(2n-3)!)a n d(n !)/(2!(n-2)!) are in the ratio 44 :3, fi...

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  4. How many permutations of the letters of the word MADHUBANI do not b...

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  5. Find the probability that in a random arrangement of the letters of th...

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  6. How many numbers can be formed with the digits 1, 2, 3, 4, 3, 2, 1 so ...

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  7. If the letters of the word ‘MOTHER’ are written in all possible orders...

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  8. In how many ways can the letters of the word PERMUTATIONS be arrang...

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  9. In how many ways can the letters of the word PERMUTATIONS be arrange...

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  10. (i) How many different words can be formed with letters of the word ‘S...

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  11. How many words can be formed using the letter A thrice, the letter B ...

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  12. How many 4 letters words can be formed using the letters of the words ...

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  13. m men and n women are to be seated in a row so that no two ...

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  14. A gentle man want to invite six friends. In how many ways and he se...

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  15. How many three-digit numbers more than 600 can be formed by using the ...

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  16. How many numbers between 3000 and 4000 can be formed form the digits 3...

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  17. How many numbers divisible by 5 and lying between 4000 and 5000 can be...

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  18. A room has 6 doors. In how many ways can a man enter the room through ...

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  19. In a monthly test, the teacher decides that there will be three que...

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  20. There are 6 multiple choice questions in an examination. How any se...

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