there are 6 donut with sprinkles and 7 with filling. if there are 3 donut that have both sprinkles and filling, how many have sprinkles or filling?

Respuesta :

There are 6 donut with sprinkles and 7 with filling. if there are 3 donut that have both sprinkles and filling, 10 have sprinkles or filling

What is Venn Diagram ?

  • Circles that overlap or do not overlap each other are used in a Venn diagram to illustrate similarities and distinctions between objects or groups of objects.
  • Objects that share characteristics are represented as overlapping circles, whereas objects that are unique stand alone.
  • Venn diagrams are currently utilized in many academic and business settings as demonstrations.

Let S represent the set for donut with Sprinklers.

Let F represent the set for donut with Filling.

To find :- How many have sprinkles or filling?

i.e. n ( S ∪ F )

Formula,

n ( S ∪ F ) = n ( S ) + n ( F ) + n ( S ∩ F )

Given,

n ( S ) = 6

n ( F ) = 7

n ( S ∩ F ) = 3

Putting in formula

n ( S ∪ F ) = n ( S ) + n ( F ) - n ( S ∩ F )

                = 6 + 7 - 3

                = 10

Donuts with Sprinklers or Filling = 10

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