Question

There are 25 students asked by their literature instructor regarding with the type of literary works they prefer to read. He found out that 10 prefer to read novels, 11 prefer to read short stories, 15 prefer to read poems, 5 for both novels and short stories, 4 both short stories and poems, 7 for both novels and poems, and 3 prefer all.

Answer 1

Given  : There are 25 students asked by their literature instructor regarding with the type of literary works they prefer to read.

He found out that 10 prefer to read novels, 11 prefer to read short stories, 15 prefer to read poems, 5 for both novels and short stories, 4 both short stories and poems, 7 for both novels and poems, and 3 prefer all.

To Find: Studied None

Solution:

Total  = 25

N = 10

S = 11

P = 15

N ∩ S = 5

S ∩ P = 4

N ∩ P = 7

N ∩ S ∩ P = 3

None =  ?

Total =  N + S + P  - N ∩ S  - S ∩ P  - N ∩ P + N ∩ S ∩ P + None

=> 25 = 10 + 11 + 15 - 5 - 4 - 7 + 3  + None

=> 25 = 23 + None

=> None = 2

2 studied none

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