Question 26
Each student in a class of 40 plays at least one indoor game-chess, carom and scrabble. 18 play chess, 20 play scrabble and 27 play carom. 7 play both chess and scrabble, 12 play both scrabble and carom and 4 play all 3 games. The number of players who play chess and carom but not scrabble is
Solution
Students who play all the three games are 4, and with the rest information given in the question, we can at best draw the venn diagram as:
Now, total students=40.
So, Chess+ 5+8+15-x=40
=>18+28-x=40
=> 46-x=40
.'. x=6
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