Question

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Answer 1

Answer:

Let A→ Set of people who speak English.

B→ Set of people who speak French.

A−B→ Set of people who speak English and not French.

B−A→ Set of people who speak French and not English.

A∩B→ Set of people who speak both English and French.

Given 

n(A)=72n(B)=43n(A∪B)=100

Now,

n(A∪B)=n(A)+n(B)−n(A∪B)

                  =72+43−100

                  =15

∴ Number of persons who speak both English and French are 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

∴ Number of people speaking English only are 57.

and Number of people speaking French only are 28.

Step-by-step explanation:

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