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In how many ways can the letters of the word PERMUTATIONS be arranged if the (i)         words start with P and end with S, (ii)        vowels are all together, (iii)       there are always 4 letters between P and S?

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RD SHARMA ENGLISH-PERMUTATIONS-All Questions
  1. Find the number of arrangements of the letters of the EXAM

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  2. A tea party is arranged for 16 persons along two sides of a long table...

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

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  4. In how many ways can a lawn tennis mixed double be made up from seven ...

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  5. The number of different of different ways in which 8 persons can stand...

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  6. Prove that 33! is divisible by " 2^15. what is the largest integer n s...

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  7. Find the number of arrangements of the letters of the MISS.

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  8. Prove that (n !+1) is not divisible by any natural number between 2 a...

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  9. Prove that: ((2n)!)/(n !)={1. 3. 5 (2n-1)}2^ndot

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  10. If (n !)/(2!(n-2)!) and (n !)/(4!(n-4)!) are in the ratio 2:1 , find t...

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  11. Find n , if (n+2)! =2550xxn !

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

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  13. Prove that: n(n-1)(n-2)....(n-r+1)=(n !)/((n-r)!)

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  14. If w(1).w(2),w(3) and w(4) are work done in isothermal, adiabatic, iso...

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

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

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

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

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

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

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