# 35 students took part in freestyle swimming event. 23 took part in the backstroke event and 10 students took part in both. How many students in total took part in the event?

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Shwetank Mauria
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Mar 11, 2018

#### Answer:

Number of students who took part in the event is

#### Explanation:

To find total number of students, we should add

- Those who participated only in freestyle swimming event,
- Those who participated only in backstroke swimming event
- Those who participated in both the swimming events (note they are not included in
#1# and#2# above)

Now, as

Similarly, as

Hence number of students who took part in the event is

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