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An investigator interviewed 100 students to determine their pr

Question

An investigator interviewed $100$ students to determine their preferences for the three drinks: milk $(M)$ , coffee $(C)$ and tea $(T)$ . He reported the following : $10$ students had all the three drinks $M, C, T$ ; $20$ had $M$ and $C$ only; $30$ had $C$ and $T$ ; $12$ had $M$ only ; $5$ had $C$ only; $8$ had $T$ only. Then how many did not take any of three drinks is

20

30

36

42

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An investigator interviewed

100

students to determine their preferences for the three drinks: milk

(M)

, coffee

(C)

and tea

(T)

. He reported the following :

10

students had all the three drinks

M, C, T

;

20

had

M

and

C

only;

30

had

C

and

T

;

12

had

M

only ;

5

had

C

only;

8

had

T

only. Then how many did not take any of three drinks is

14 mins ago

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14 mins ago

Text solutionVerified

From figure,

The number of students who take any of three drinks

= 47 + 55 + 43 - 30 - 30 - 15 + 10 = 80

The number of students who did not take any of three drinks

= 100 - 80 = 20

Option A is correct.

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Question Text	An investigator interviewed $100$ students to determine their preferences for the three drinks: milk $(M)$ , coffee $(C)$ and tea $(T)$ . He reported the following : $10$ students had all the three drinks $M, C, T$ ; $20$ had $M$ and $C$ only; $30$ had $C$ and $T$ ; $12$ had $M$ only ; $5$ had $C$ only; $8$ had $T$ only. Then how many did not take any of three drinks is
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

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