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PostPosted: Sun Jul 12, 2015 1:01 pm 
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Joined: Tue Nov 18, 2014 9:05 am
Posts: 62
Can someone help me with this problem please? I want to help my son, but I'm struggling with some of the questions myself! :shock: :shock:

Craig is arranging plates of food for a party.

He has 3 types of sandwich, 2 types of cake, and 4 types of biscuit.

Which shows the number of possible combination of sandwich, cake and biscuit on a plate?

1. (3x2) + (3x4)
2. 3 x 2 x 4
3. (3x4) + (2x4)
4. 3 + 2 + 4
5. (2x3) + (2x4)

Thank you!


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PostPosted: Sun Jul 12, 2015 2:27 pm 
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Joined: Mon Feb 12, 2007 1:21 pm
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It's the second option ... take S as sandwich, C as cake and B as biscuit ...

S1 C1 B1
S1 C1 B2
S1 C1 B3
S1 C1 B4

now repeat for cake 2 etc


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PostPosted: Tue Jul 14, 2015 9:53 am 
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Joined: Tue Nov 18, 2014 9:05 am
Posts: 62
Thank you Guest!

Unfortunately it's still gibberish to me :-( I'm trying to figure it out but I just don't get it :-(


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PostPosted: Tue Jul 14, 2015 10:16 am 
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Joined: Thu Jun 14, 2012 9:28 am
Posts: 121
thescribe,
my dd had a difficulty understanding similar questions so I devised a way of explaining to her - this maybe frowned upon by teachers but it has worked for me.
You have 3 types of sandwich, 2 types of cake and 4 types of biscuit. First consider the sandwich and cake combination. Draw 3 circles vertically, representing the sandwiches, and then 2 circles adjacent to the 3 circles, representing the cakes. Now draw a line from each sandwich to each cake and you will find you have six combinations. Now draw six circles in a vertical line, representing the 6 combinations of cakes and sandwiches and 4 circles in a line adjacent to represent the biscuits. Now draw a line from each of your 6 combinations to each type of biscuit and you will find that you 24 combinations. Now find which of the answers gives you 24 combinations.

This is just a method to teach. With practice, children should be encouraged to appreciate that the number of combinations is simply a product of the types.

I hope this helps
Tagore


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PostPosted: Tue Jul 14, 2015 10:48 am 
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Joined: Tue Nov 18, 2014 9:05 am
Posts: 62
Tagore wrote:
thescribe,
my dd had a difficulty understanding similar questions so I devised a way of explaining to her - this maybe frowned upon by teachers but it has worked for me.
You have 3 types of sandwich, 2 types of cake and 4 types of biscuit. First consider the sandwich and cake combination. Draw 3 circles vertically, representing the sandwiches, and then 2 circles adjacent to the 3 circles, representing the cakes. Now draw a line from each sandwich to each cake and you will find you have six combinations. Now draw six circles in a vertical line, representing the 6 combinations of cakes and sandwiches and 4 circles in a line adjacent to represent the biscuits. Now draw a line from each of your 6 combinations to each type of biscuit and you will find that you 24 combinations. Now find which of the answers gives you 24 combinations.

This is just a method to teach. With practice, children should be encouraged to appreciate that the number of combinations is simply a product of the types.

I hope this helps

Tagore



Thank you! That really helps and I get it now! :-) Honestly, I'm not usually this dim but I just couldn't get my head around it. Thank you both!


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