Question

In a Group of 300 people, 150 can speak French & 200 can speak German. How many can speak
both French & German.
A
50
00
none
C.
40
D.
20

Answer 1

Answer:

The answer is 350 but this option is not given.

Answer 2

Answer:

The number of people who can speak both French and German is $50$.

Step-by-step explanation:

Given that :

The universal set contains : $300$

Number of people who can speak French : $150$

Number of people who can speak German : $200$

We know that the formula for n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

Substituting the values given in the question,

$300=150+200-$ n(A ∩ B)

n(A ∩ B)$=(150+200)-300$

n(A ∩ B) $=350-300$

n(A ∩ B) $=50$

Hence, the number of people who can speak both French and German is $50$.