In a group of 15 high school students, 7 study Latin, 8 study French and 3 study neither Latin nor French. How many students study both Latin and French?

3

4

6

None of these


Description (বিবরণ) :

প্রশ্ন: In a group of 15 high school students, 7 study Latin, 8 study French and 3 study neither Latin nor French. How many students study both Latin and French?

ব্যাখ্যা:

The number of students studying Latin or French n(LUF) = 15 - 3 = 12

Now,  n(LUF) = n(L) + n(F) - n(LF)

or,   n(LF) = n(L) + n(F) - n(LUF) = 7 + 8 - 12 = 3