kellyrasmussen1608 kellyrasmussen1608
  • 15-01-2020
  • Mathematics
contestada

How many decorations are there using 12 blue balloons, 9 green lanterns and 6 red ribbons ina row, such that no two ribbons are next to each other

Respuesta :

nuuk nuuk
  • 16-01-2020

Answer:

Step-by-step explanation:

Given

there are 12 blue balloon

9 green lanterns

6 red ribbons

Total no of ways in which decoration can be done=(12+9+6)!=27 !

Considering red ribbons as single unit, so there are 22 units

so no of ways in which they are arranged [tex]=22!\times 6![/tex]

6! is multiplied because 6 ribbons can be arranged in 6! ways

No of ways in which decoration is done, such that no two ribbons are next to each other [tex]=27 !- 22 !\times 6![/tex]

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