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The Number of Ways in Which 6 Men Can Be Arranged in a Row So that Three Particular Men Are Consecutive, is , 4! × 3! , 4! , 3! × 3! , None of These. - Mathematics

MCQ

The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is

Options

  • 4! × 3!

  • 4!

  • 3! × 3!

  • none of these.

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Solution

4! × 3!
According to the question, 3 men have to be 'consecutive' means that they have to be considered as a single man.
But, these 3 men can be arranged among themselves in 3! ways.
And, the remaining 3 men, along with this group, can be arranged among themselves in 4! ways.
∴ Total number of arrangements =  4! × 3!

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 14 | Page 47
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