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The Number of Six Letter Words that Can Be Formed Using the Letters of the Word "Assist" in Which S'S Alternate with Other Letters Is,12,24,18,None of These. - Mathematics

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MCQ

The number of six letter words that can be formed using the letters of the word "ASSIST" in which S's alternate with other letters is

Options

  • 12

  • 24

  • 18

  • none of these.

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Solution

12
All S's can be placed either at even places or at odd places, i.e. in 2 ways.
The remaining letters can be placed at the remaining places in 3!, i.e. in 6 ways.
∴ Total number of ways = 6 x 2 = 12

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 7 | Page 46

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