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In a class of 38 students, 18 students like cricket, 20 like football and 15 like chess. 8 students like both cricket and chess and 3 out of these also like football. 7 students like only cricket and 6 students like only chess. How many students like only football?

In a class of 38 students, 18 students like cricket, 20 like football and 15 like chess. 8 students like both cricket and chess and 3 out of these also like football. 7 students like only cricket and 6 students like only chess. How many students like only football? Correct Answer 13

According to the given information,

Number of students = 38

18 like cricket, 20 like football and 15 like Chess

8 students like both cricket and chess and 3 out of these also like football i.e., 3 students like all the three games.

7 students like only cricket and 6 students like only chess

Drawing the Venn diagram,

[ alt="F1 R.R 5.6.20 Pallavi D5" src="//storage.googleapis.com/tb-img/production/20/06/F1_R.R_5.6.20_Pallavi_D5.png" style="width: 196px; height: 172px;">

Number of students who only like football = 20 – (3 + 3 + 1)

= 20 –7

= 13

Hence, “13” is the correct answer.

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