DSSSB TGT/PGT/PRT Exam > DSSSB TGT/PGT/PRT Questions > The number of different words (eight-letter w...
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The number of different words (eight-letter words) ending and beginning with a consonant which can be made out of the letters of the word ‘EQUATION’ is
- a)5200
- b)4320
- c)3000
- d)2160
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The number of different words (eight-letter words) ending and beginnin...
There are 3 consonants in the word 'Equation' & we need to seect 2 consonants.
No. of way to arrange consonants at the ending & beginning = 2 x 3C2
There are 6 letters for the middle positions
∴ no. of ways to arrange these 6 letters = 6!
Hence no. of different words = 2 x 3C2 x 6!
= 2 x 3 x 6 x 5 x 4 x 3 x 2 x 1 = 4320
No. of way to arrange consonants at the ending & beginning = 2 x 3C2
There are 6 letters for the middle positions
∴ no. of ways to arrange these 6 letters = 6!
Hence no. of different words = 2 x 3C2 x 6!
= 2 x 3 x 6 x 5 x 4 x 3 x 2 x 1 = 4320
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The number of different words (eight-letter words) ending and beginning with a consonant which can be made out of the letters of the word ‘EQUATION’ isa)5200b)4320c)3000d)2160Correct answer is option 'B'. Can you explain this answer?
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