100 students entered college.

55 of them chose sports.

44 of them chose music.

20 of them chose both.

How many of them chose neither sports nor music ?

+3 votes

100 students entered college.

55 of them chose sports.

44 of them chose music.

20 of them chose both.

How many of them chose neither sports nor music ?

+1 vote

0 votes

1.- 20 chose both sports and music

2.- As the total number of students prefering sports is 55, then 55-20 = 35 students chose music only.

3.- As the total number of students prefering music is 44, then 44 - 20 = 24 students chose sports only

Therefore, 100 - ( 20+35+24) = 21 students chose neither sports nor music

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