Question

In a group of students, 65 play foot ball, 45 play hockey, 42 play cricket, 20 play foot ball and hockey, 25 play foot ball and cricket, 15 play hockey and cricket and 8 play all the three games. Find the total number of students in the group

Answer 1

Total = adding all digits...

65+45+42+20+25+15+8 = 300

Total no. of students are 300 in the group...

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Answer 2

Step-by-step explanation:

students who play football = f

students who play hockey = h

students who play cricket = c

n(f) = 65  n(h) = 45  n(c) = 42

n(f and h) = 20  n(f and c) = 25  n(h and c) = 15  n(f and h and c) = 8

n(f or h or c) = n(f) + n(h) + n(c) - n(f and h) - n(f and c) - n(h and c) + n(f and h and c)

                     = 65+45+42-20-25-15+18

                     = 100

Assuming each student in the group plays at least one game,

Then total number of students in the group = 100.