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27 - Mathematics M1.SE.3 - Venn Diagrams & Applications

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✅EvaluateQuestion 1 of 21

In a Venn diagram, what does the rectangle represent?

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✅EvaluateQuestion 2 of 21

How many regions does a TWO-set Venn diagram have?

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✅EvaluateQuestion 3 of 21

How many regions in a THREE-set Venn?

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✅EvaluateQuestion 4 of 21

The CENTRE region of a 3-set Venn represents

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✅EvaluateQuestion 5 of 21

30 students, 22 in choir, 8 in band, 4 in both. How many in choir ONLY?

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✅EvaluateQuestion 6 of 21

In Q5, how many in NEITHER?

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✅EvaluateQuestion 7 of 21

What's outside both circles but inside the rectangle?

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✅EvaluateQuestion 8 of 21

In a Bridgetown survey of 50 voters: 30 support Party A, 28 support Party B, 12 support both. How many support EXACTLY ONE party?

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✅EvaluateQuestion 9 of 21

In Q8, how many support NEITHER party?

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✅EvaluateQuestion 10 of 21

60 tourists in Castries: 40 visited a beach, 35 visited a market, 25 visited both. How many visited at least one?

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✅EvaluateQuestion 11 of 21

In a Trinidad cricket club of 80 members: 50 play batting, 35 play bowling, 18 play wicket-keeping, 10 play all three. The maximum possible n(B ∩ Bow) is

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✅EvaluateQuestion 12 of 21

45 households: 25 grow tomatoes, 20 grow lettuce, 7 grow both. How many grow only tomatoes?

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✅EvaluateQuestion 13 of 21

In a 3-set Venn, the region BELONGING to A and B but NOT C is labelled

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✅EvaluateQuestion 14 of 21

At a Bahamian beach: 100 swam, 80 played volleyball, 50 did both. Total who did at least one?

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✅EvaluateQuestion 15 of 21

In a class of 60: 30 study French, 25 study Spanish, 22 study German, 12 study French & Spanish, 10 study Spanish & German, 8 study French & German, 5 study all three. How many study at least one language?

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✅EvaluateQuestion 16 of 21

From Q15, how many study NONE of the three?

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✅EvaluateQuestion 17 of 21

From Q15, how many study French only?

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✅EvaluateQuestion 18 of 21

In a Trinidad survey of 200 voters: A and B are sets of those who voted yes on questions A and B. n(A)=130, n(B)=110, n(A ∩ B)=80. How many voted YES on EXACTLY ONE question?

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✅EvaluateQuestion 19 of 21

At a St Lucia restaurant: 80 % of customers had bake, 60 % had saltfish, 50 % had both. % who had AT LEAST one?

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✅EvaluateQuestion 20 of 21

A Belize bakery survey: 50 like cinnamon roll, 35 like custard tart, 8 like neither, total 70. How many like BOTH?

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✅EvaluateQuestion 21 of 21

For three sets A, B, C with n(A)=n(B)=n(C)=20, all pairwise intersections = 5, triple intersection = 2. n(A ∪ B ∪ C)?

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✅EvaluateQuestion 1 of 21

In a Venn diagram, what does the rectangle represent?

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