Answer: 44 students
Step-by-step explanation:
Let Walking dead be denoted as W
Let Blacklist be denoted as B
Let Game of thrones be denoted as G
Total number of students that watch W = 30
W&G&B = 7
W&B only = 13-7 = 6
W&G only = 10-7 = 3
To get the number of people that watch W ONLY, we subtract those that watch W&B only (6), W&G only(3) and W&B&G(7) from 30. Hence,
W Only = 30 - 6- 3 - 7= 14 (14 students watch Walking dead only)
Total number of students that watch B =24
B&G&W = 7
B&W only = 13-7 = 6
B&G only = 16 - 7 = 9
Hence, those that watch B only = 24-6-9-7= 2 students.
Total number of students that watch G = 22
G&W&B = 7
G&B only = 9
G&W only = 3
Hence those that watch G only = 22-9-3-7 = 3 students.
Hence number of students that watch at least one show = W only + B only + G only + W&B only + W&G only + B&G only + W&B&G.
= 14+2+3+6+3+9+7 = 44 students.
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