document.write( "Question 940083: Out of 500 students investigated, 400 studies Hindi, 200 English and 50 both. Is this data correct.
\n" ); document.write( "Explain and justify your answer.
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #572884 by krutarthas(22)\"\" \"About 
You can put this solution on YOUR website!
Out of 500 students investigated,
\n" ); document.write( "400 studies Hindi, 200 English and 50 both.
\n" ); document.write( "this data incorrect
\n" ); document.write( "Explanation-
\n" ); document.write( "let us take Hindi studing students set is H
\n" ); document.write( "English studing students set is E
\n" ); document.write( "400 students studies Hindi
\n" ); document.write( "so |H|=400
\n" ); document.write( "200 students studies english
\n" ); document.write( "so |E|= 200
\n" ); document.write( "50 students studies Hindi and english both
\n" ); document.write( "|H∩E| = 50
\n" ); document.write( "student studying Hindi or english set is = H∪E
\n" ); document.write( "|H∪E|=|H|+|E|-|H∩E|=400+200-50=550
\n" ); document.write( "but the total no of student participated in this problem is 500
\n" ); document.write( "so the data is incorrect
\n" ); document.write( "(answer)\r
\n" ); document.write( "\n" ); document.write( "thanks
\n" ); document.write( "krutartha \n" ); document.write( "
\n" );