Find the number of ways in which 8 different flowers can be strung in order to form a garland such that 4 particular flowers are never separated.?

288
144
72
576
800

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 288

If we consider those 4 particular flowers as one group of flowers, then we can consider that we have five flowers (one of these five is the group of flower and rest 4 are those different flowers) which can be strung to form a garland in 4!/2 ways (In this case garland can be flipped as well which will double the number of ways of arranging the flowers so to avoid double counting we divide it by 2)

Moreover those 4 different flowers can also arrange themselves in 4! ways

Thus the required number of ways = (4! × 4!)/2 = 288

∴ The number of ways = 288

4 views Answered 2022-09-04 04:29

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