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Math phrasology (1 Viewer)

hiiitsme

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1636875550997.pngHey what yall think the answer is to this - have heard contrasting opinions aii thx
 

cossine

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So the word "or" has two definitions.

I would use the exclusive-or definition of or but there been case of people using inclusive-or definition for some reason.
 

Jerryclover

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16/28. I think it's implying only violin or only clarinet. It's ambiguous though
 

IDK and IDC

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nah it 23/28, its either one of them so jus add them all together leaving the people that do neither out which is 5
 

cossine

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So the answer….
So it is not hard just use the exclusive or definition

The students studying "violin but not clarinet", "clarinet but not violin" are the student studying either clarinet or violin.

We are told the following:

- 17 V
- 13 C
- 5 Neither
- 28 all together.

For these problems try to solve a sub-problem. To solve a bigger problem

Let try and find num_V_and_C:

28 = 5 + num_V_or_C

= 5 + num_V + num_C - Num_V_and_C

= 5 + 17 + 13 - num_V_and_C

= 35 - num_V_and_C

So 28 = 35 - num_V_and_C

=> -7 = -num_V_and_C

=> num_V_and_C = 7

stud_only_V = num_V - num_V_and_C = 10

stud_only_C = num_C - num_V_and_C = 6

either_V_or_C = stud_only_V + stud_only_C = 16
 

specificagent1

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nah it 23/28, its either one of them so jus add them all together leaving the people that do neither out which is 5
i think it's asking for either violin or clarinet. That doesnt include people taht do both
 

icycledough

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As has been said above, I also got 16/28 (excluding 5 who don't play either instrument and 7 who play both). The question asks for EITHER, and I would assume as the previous part was BOTH, you wouldn't include the 7 who play both.
 

IDK and IDC

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the question is from killara 2021 trials and the solutions say 23/28, so idk now, when i calculated it i got 23/28
 

specificagent1

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As has been said above, I also got 16/28 (excluding 5 who don't play either instrument and 7 who play both). The question asks for EITHER, and I would assume as the previous part was BOTH, you wouldn't include the 7 who play both.
same
 

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