In a college, 240 students play cricket, 180 students play football, 1

1.	In a college, 240 students play cricket, 180 students play football, 164 students playhockey, 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 gamegive me the answer in step by step pls
Answer» 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 please mark as brainlist

In a college, 240 students play cricket, 180 students play football, 164 students playhockey, 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 gamegive me the answer in step by step pls

Answer»

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

please mark as brainlist