#Venn diagrams question

20 messages · Page 1 of 1 (latest)

earnest dawn
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In a group of 80 young people, 49 play table-tennis; 49 play darts; 50 play snooker. 27 play table-tennis and darts; 29 play darts and snooker;
28 play table-tennis and snooker.
All the young people play at least one of the three activities.
(a) Find the number of people who play all three activities.
(b) Find the number of people who play only table-tennis.
(c) Find the number of people who play snooker, but not darts.

I have spent an hour and have no idea how to solve this

wooden relicBOT
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tight pier
earnest dawn
tight pier
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A + B + C - (A n B) - (A n C) - (B n C) + (A n B n C) = (A u B u C)

earnest dawn
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Wait what

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How does A u B u C come from that?

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Oh wait yeah nvm

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Alr

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So how do I use that?

tight pier
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well you know all of those things except 1

earnest dawn
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Ohh so I just substitute into the equation

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Thanks I’ll try that when I get home

earnest dawn
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Because it says the total people is 80 but we dk if anybody does none of the three

tight pier
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read the problem again

earnest dawn
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Oh yeah mb

earnest dawn
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+close