# The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is

1
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Therefore we have to arrange one SET ( 4 flowers ) and 4 other flowers into a garland.

Which means, 5 things to be arranged in a garland.

(5-1)!

And the SET of flowers can arrange themselves within each other in 4! ways.

Therefore

(5-1)!*(4!)

But, Garland, looked from front or behind does not matter. Therefore the clockwise and anti clockwise observation does not make difference.

Therefore

(5-1)! * (4!)/ 2

= 288.

or

Simply :- (5-1)! * 4!/2

So Total value will be 288