Question

In a college, 240 students play cricket, 180 students play football, 164 students play

hockey, 42 play both cricket and football, 38 play both football and hockey, 40 play

both cricket and hockey and 16 play all the three games. If each student participate in

atleast one game, then find (i) the number of students in the college (ii) the number of

students who play only one game

give me the answer in step by step pls​

Answer 1

Step-by-step explanation:

(I) According to de Morgan law

n(CuFuH)= n(C)+n(F)+n(H)-n(CnF)-n(FnH)-n(CnH)+n(CnFnH)

→n(CuFuH)=240+180+164-42-38-40+16

=480

so total number of students is 480

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