Three-set Venn diagram problems

Question 1 of 10

In a survey of 49 farmers, 18 grow maize (M), 24 grow cassava (C) and 19 grow yam (Y). 6 grow M and C, 8 grow M and Y, 9 grow C and Y, and 3 grow all three. (a) Draw a Venn diagram. (b) How many grow maize only? (c) How many grow none of the crops?

Question 2 of 10

In a survey of 39 farmers, 20 grow maize (M), 16 grow cassava (C) and 19 grow yam (Y). 8 grow M and C, 9 grow M and Y, 4 grow C and Y, and 2 grow all three. (a) Draw a Venn diagram. (b) How many grow maize only? (c) How many grow none of the crops?

Question 3 of 10

In a group of 48 people, 16 like tea, 40 like coffee and 13 like both. The number who like neither is ___.

Question 4 of 10

In a class of 47 pupils, 20 study French (F), 19 study Twi (T) and 21 study Ewe (E). 8 study F and T, 8 study F and E, 10 study T and E, and 4 study all three. How many study none of the three languages?

Question 5 of 10

In a class of 60 pupils, 26 study French (F), 23 study Twi (T) and 27 study Ewe (E). 10 study F and T, 8 study F and E, 8 study T and E, and 4 study all three. How many study exactly two of the languages?

Question 6 of 10

In a survey of 45 farmers, 17 grow maize (M), 22 grow cassava (C) and 22 grow yam (Y). 7 grow M and C, 8 grow M and Y, 9 grow C and Y, and 3 grow all three. (a) Draw a Venn diagram. (b) How many grow maize only? (c) How many grow none of the crops?

Question 7 of 10

In a group of 44 people, 38 like tea, 16 like coffee and 13 like both. The number who like neither is ___.

Question 8 of 10

In a survey of 61 farmers, 31 grow maize (M), 21 grow cassava (C) and 31 grow yam (Y). 11 grow M and C, 11 grow M and Y, 10 grow C and Y, and 5 grow all three. (a) Draw a Venn diagram. (b) How many grow maize only? (c) How many grow none of the crops?

Question 9 of 10

If A and B are disjoint, n(A ∩ B) = 0.

Question 10 of 10

In a group of 55 people, 16 like tea, 36 like coffee and 4 like both. The number who like neither is ___.