Question

In a school 150 are dancers and 98 are singers.63 are both dancer and singer.find total number of students?

Answer 1

Step-by-step explanation:

150+98+63=311.

311 are the number of students.

Answer 2

The total number of students is 185

Step-by-step explanation:

Given Number of dancers is 150

          Number of singers is 98

Number of students both dancer and singer is 63

We need to calculate total number of students

Let number of  students are dancer is $A$

Number of students are  singer is $B$

Number of students are both dancer and singers   is $A\cap B$

We have to calculate Total number of students is \left | A\cup B \right |

Given $\left | A \right |=150$

$\left | B \right |=98$

$\left | A\cap B \right |=63$

We know $\left | A\cup B \right |=\left | A \right |+\left | B \right |-\left | A\cap B \right |$

$\left | A\cup B \right |=150+98-63$

                 $=248-63$

                 $=185$

So   $\left | A\cup B \right |=185$

So The total number of students is 185