In a class of 46 students, 18 play carom; 17 play chess, including 6 who play carom; 16 play cards, including 4 who play chess, but not carom; and 5 play only tennis. Which of the following figures represents these facts?

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Given: 

​Ina class of 46 students, 18play carom; 17 play chess, including 6 who play carom; 16 play cards, including 4 who play chess, but not carom; and 5 play only tennis.​

So, from above diagram only (a)  venn diagram follows.

Thus, correct option is (a).