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The Number of Ways in Which the Letters of the Word Article Can Be Arranged So that Even Places Are Always Occupied by Consonants Is, 576 , 4c3 × 4!, 2 × 4! , None of These.

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प्रश्न

The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is

विकल्प

  • 576

  • 4C3 × 4!

  • 2 × 4!

  • none of these.

MCQ
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उत्तर

576

There are 3 even places in the 7 letter word ARTICLE.
So, we have to arrange 4 consonants in these 3 places in 4P3 ways.
And the remaining 4 letters can be arranged among themselves in 4! ways.
∴ Total number of ways of arrangement  = 4P3 x 4! = 4! x 4! = 576

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अध्याय 16: Permutations - Exercise 16.7 [पृष्ठ ४७]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.7 | Q 21 | पृष्ठ ४७

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