How many ways can 7 women and 3 men be arranged in a row if the 3 men myst always stand next to each other?
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Consider three men as a single unit then we have total 7+1=87+1=8 units that can be arranged in a row by 8!8! ways
But three men as a single unit can be mutually switched by 3!3! different ways without changing order of women hence total different ways of making linear arrangements of 7 women & 3 men such that men are always together
=8!×3!=8!×3!
=241920
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