Answer:
Number of students liked both soccer and football is 30.
Step-by-step explanation:
Let student likes soccer represent by A and student likes football represent by b.
Total student = A ∪ B
Student liking both sports = A ∩ B
Given:
Total number of students, n( A ∪ B ) = 350.
Number of student likes soccer, n ( A )= 200
Number of student likes football, n ( B ) = 180
To find Number of student likes both soccer and football, n( A ∩ B )
We use the following relation,
n ( A ∪ B ) = n ( A ) + n ( B ) - n ( A ∩ B )
350 = 200 + 180 - n ( A ∩ B )
n ( A ∩ B ) = 380 - 350
n ( A ∩ B ) = 30
Therefore, Number of students liked both soccer and football is 30.
