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