Question

Use Venn diagram to illustrate the following problem :

In a college out of the 100 students, in all 40 students p lay cricket; 15 play cricket and volleyball and 17 play only cricket . 14 students play only volleyball; 10 play volleyball and hockey ; 4 students play all 3 games and 12 play only hockey . Remaining do not play any game .

(i) H ow many students do not p lay any game?
(ii) In all how many students play hockey?

Answer 1

(i) How many students do not play any game?

There are 100 - 17 - 14 - 12 - 11 - 6 - 8 - 4 = 28 students not playing any game.

(ii) In all how many students play hockey?

There are $12 + 6 + 4 + 8 = 40$ students playing hockey.

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