Math, asked by elieggg12345678, 8 months ago

In a group of 100 persons, 72 people can speak English and 43 can speak French. By using Venn diagram. i) How many people can speak English only? ii) How many people can speak French only? iii)How many people can speak both English and French?

Answers

Answered by aneeshagarwal14
0

Answer:

in the given attachment

Step-by-step explanation:

Answered by hinshaiqbal
1

Answer:

Step-by-step explanation:

Let A be the set of people who speak English.

B be the set of people who speak French.

A - B be the set of people who speak English and not French.

B - A be the set of people who speak French and not English.

A ∩ B be the set of people who speak both French and English.

Given,

n(A) = 72       n(B) = 43       n(A ∪ B) = 100

Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)

                    = 72 + 43 - 100

                    = 115 - 100

                    = 15

Therefore, Number of persons who speak both French and English = 15

n(A) = n(A - B) + n(A ∩ B)

⇒ n(A - B) = n(A) - n(A ∩ B)

               = 72 - 15

               = 57

and n(B - A) = n(B) - n(A ∩ B)

                  = 43 - 15

                  = 28

Therefore, Number of people speaking English only = 57

Number of people speaking French only = 28

 

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