Question

In a survey of a school,300 students play volleyball,250 favour cricket and 110 favour both the games.Draw a venn daigram and calculate the number of students who play cricket only and also the number of students who play either volleyball or cricket,answer should be explain in steps

Answer 1

Step-by-step explanation:

play cricket only =140

play volley ballonly=290

play either volley ball or cricket =540

Answer 2

Number of students who play volleyball n(V) = 300

Number of students who play cricket n(C) = 250

$Number\: of\: students \:who\: play\: both$

$n( V \cap C) = 110$

$i) Number \:of \: students \:who \:play \:only$

$Volleyball = n(V) - n( V \cap C)$

$= 300 - 110$

$= 190$

$ii) Number \:of \: students \:who \:play \:only$

$Cricket = n(C) - n( V \cap C)$

$=250 - 110$

$= 140$

$iii)The \:number \:of \:students\: who\: play$

$either\: volleyball \:or\: cricket= n (V \cup C)$

$= n(V) + n(C) - n( V \cap C )$

$= 300 + 250 - 110$

$= 550 - 110$

$= 440$

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