Question

in a class, 300 students play volleyball, 250 play cricket and 110 play both games. Find the number of students who play either volleyball or cricket. please answer it correctly. If it's correct I'll mark the brainliest

Answer 1

Answer:

Step-by-step explanation:

This is not the same but i found a similar problem with steps

Notice that "7 play both Hockey and Cricket" does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Hockey/Football.

{Total}={Hockey}+{Cricket}+{Football}−{HC+CH+HF}+{All three}+{Neither}{Total}={Hockey}+{Cricket}+{Football}−{HC+CH+HF}+{All three}+{Neither}

(For more check ADVANCED OVERLAPPING SETS PROBLEMS)

50=20+15+11−(7+4+5)+{All three}+1850=20+15+11−(7+4+5)+{All three}+18;

{All three}=2{All three}=2;

Those who play ONLY Hockey and Cricket are 7 - 2 = 5;

Those who play ONLY Cricket and Football are 4 - 2 = 2;

Those who play ONLY Hockey and Football are 5 - 2 = 3;

Hence, 5 + 2 + 3 = 10 students play exactly two of these sports.

Answer 2

n(B) = 300

n(C) = 250

n(B and C) = 110

so, n(B or C ) = n(B) + n(c) - n(B and C )

= 300 + 250 -110

= 440