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How many different words can be formed from the letters of the word ‘GANESHPURI’? in how many of these words: (i) the letter G always occupies the first place? (ii) the letters P and I respectively occupy first and last place? (iii) the vowels are always together? (iv) the vowels always occupy even places?

 i)  in 10! ways

ii) 8! ways

iii) total!-vowels not together tat is 10!-6!

iv) 

  • -10
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GANESHPURI

1)- G occupies the first place..

X X X X X X X X X X { X - Positions }

1 9 8 7 6 5 4 3 2 1

= 9!

2)- X X X X X X X X X X { X - Positions }

1 8 7 6 5 4 3 2 1 1

= 8!

3)- GNSHPR AEIU

7! x 4!

4)- 5! X 6!

  • 10
5 5 5 5 
  • 2
I) 9!
  • -2
2) 8!
  • -3
3) 7!?4!
  • -4
In third that is multiplication sign.
  • -2
If P denotes the number of permutations of Express three things Taken all at a time Q denotes the number of permutations of X + 1 things taken 11 at a time and are you know the number of permutations of x minus 10 things Taken all at a time such that equal to 180 to QR then the value of x is
  • -3
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