Math, asked by amithrtbrkr, 1 year ago

In a group of 100 persons 72 people can speak english and 43 can speak french. How many can speak English only ? How many can speak french only and how many can speak english and french?

Answers

Answered by Amlanadity3arout
2
hey mate here is your answer
ans-two group speak in English=100 and 72
since, 100+72=172 speak English only
In other hand ,there are 43 people who speak France only.clearly. so 43 people speaks only France.
So, 172 speaks English and 43 speaks French.
Answered by Arcel
9

Given:

Number of people who speak English n(A) = 72 People

Number of people who speak French n(B) = 43 People

Total number of people in the group = 100 People

Calculating the number of people that can speak both French and English:

n(A ∩ B) = n(A) + n(B) - n(A ∪ B)

Substituting all the values known to us in this formula we get:

= 72 + 43 - 100

= 115 - 100

= 15

Therefore, 15 people can speak both French and English.

Calculating the number of people who speak English only:

n(A) = n(A - B) + n(A ∩ B)

Substituting all the values known to us in this formula we get:

= 72 - 15

= 57

Therefore, 57 people can speak only English.

Calculating the number of people who speak only French:

n(B - A) = n(B) - n(A ∩ B)

Substituting all the values known to us in this formula we get:

= 43 - 15

= 28

Therefore, 28 people can only speak French.

Similar questions