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8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?

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प्रश्न

8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?

योग
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उत्तर

There are 6 men and 8 women.

To make all 6 men together treat them as 1 unit.

Now there are 1 + 8 = 9 persons.

They can be arranged in 9! ways.

After this arrangement the 6 men can be arranged in 6! ways.

So total number of arrangement = 9! × 6!

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अध्याय 4: Combinatorics and Mathematical Induction - Exercise 4.2 [पृष्ठ १७८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 4 Combinatorics and Mathematical Induction
Exercise 4.2 | Q 8. (ii) | पृष्ठ १७८

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