Question

out of a group of 50teachers in a high school 30 teach mathematics 20teach English and 25 teach science 10 teach both mathematics &science &none teach mathematics and English
1) how many teach science and English?
2)how many teach only English?​

Answer 1

Answer:

The Sumerians drew maps to know the knowledge about different places and to reach the correct place which they want to go to.

Answer 2

Answer: (1) 15 Teachers teach both Science and English

              (2) 5 teachers teach only English

Step-by-step explanation:

Number of teachers of Maths = n(M)

Number of teachers of English = n(E)

Number of teachers of Science = n(S)

As no teacher teaches both Maths and English , n(E∩M∩S) = 0

n(E∪M∪S) = n(E) + n(M) + n(S) - n(E∩M) - n(E∩S) - n(S∩M) + n(E∩M∩S)

$50 = 20 + 30 + 25 - 0 -$ n(E∩S) $-10 + 0$

n(E∩S)  = 15

15 Teachers teach both Science and English

Number of teachers teaching only English = n(E) - n(E∩M) - n(E∩S) + n(E∩M∩S)

Number of teachers teaching only English = 20 - 0 - 15 + 0 = 5

5 teachers only teach English

#SPJ3