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Find the number of arrangements of the...

Find the number of arrangements of the letters of the INDEPENDENCE. In how many of these arrangements, (i)  do the words start with P (ii) do all the vowels always occur together (iii) do the vowels never occur together (iv) do the words begin with I and end in P?

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RD SHARMA ENGLISH-PERMUTATIONS-All Questions
  1. If 22P(r+1):^(20)P(r+2)=11 : 52 ,find r

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  2. If 2n+1P(n-1) : (2n-1)Pn =3:5,find n

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  3. Find the number of arrangements of the letters of the INDEPENDENCE. ...

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  4. In how many ways can the letters of the word PENCIL be arranged so tha...

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  5. How many 4-letter word, with or without meaning, can be formed out of ...

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  6. If Pm stands for ^m Pm , then prove that: 1+1. P1+2. P2+3. P3++ndotPn=...

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  7. In an examination hall there are four rows of chairs. Each row has 8 c...

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  8. The sum of all four-digit numbers that can be formed by using the d...

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  9. If P(15 ,r-1): P(16 ,r-2)=3:4 , find rdot

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  10. If "^(n+5)P(n+1)=(11(n-1))/2"^(n+3)Pn , find ndot

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  11. How many words, with or without meaning, can be formed by using the ...

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  12. If a denotes the number of permutations of (x+2) things taken all at a...

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  13. In how many ways can 9 examination papers arranged so the best and the...

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  14. How many words can be formed with the letters of the words ‘ORDINATE’ ...

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  15. A code word is to consist of two distinct English alphabets followed b...

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  16. In how many ways can 5 children the arranged in a row such that two of...

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  17. How many words can be formed from the letters of the word, TRIANGLE? ...

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

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  19. In how many ways can 5 girls and 3 boys be seated in a row so that ...

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  20. How many words can be formed with the letters of the words ‘ORDINATE’ ...

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