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Mathematics 9 Online
OpenStudy (i_love_my_nieces):

Help

OpenStudy (i_love_my_nieces):

@Michele_Laino

OpenStudy (i_love_my_nieces):

Hold on I have to find it and attach it. Please wait.

OpenStudy (michele_laino):

ok!

OpenStudy (i_love_my_nieces):

OpenStudy (i_love_my_nieces):

U see it?

OpenStudy (michele_laino):

yes!

OpenStudy (michele_laino):

hint: \[\left( {\begin{array}{*{20}{c}} 6 \\ 3 \end{array}} \right) = \frac{{6!}}{{3!3!}} = \frac{{3! \cdot 4 \cdot 5 \cdot 6}}{{3! \cdot 6}} = ...?\]

OpenStudy (i_love_my_nieces):

20?

OpenStudy (michele_laino):

yes!

OpenStudy (i_love_my_nieces):

Can you help with some more please?

OpenStudy (michele_laino):

ok!

OpenStudy (i_love_my_nieces):

OpenStudy (michele_laino):

I think the first option, since the set of three toppings can not be a subset of the set pizza

OpenStudy (i_love_my_nieces):

That's what I thought

OpenStudy (i_love_my_nieces):

OpenStudy (i_love_my_nieces):

That's the next two questions

OpenStudy (i_love_my_nieces):

brb

OpenStudy (michele_laino):

ok!

OpenStudy (i_love_my_nieces):

I'm back sorry my dad wanted me

OpenStudy (michele_laino):

ok!

OpenStudy (i_love_my_nieces):

Can you help me now?? @Michele_Laino

OpenStudy (michele_laino):

I'm ready!

OpenStudy (i_love_my_nieces):

Okay do you need me to re-post the question's?

OpenStudy (i_love_my_nieces):

OpenStudy (michele_laino):

post your question here, please

OpenStudy (i_love_my_nieces):

You posted it on here

OpenStudy (michele_laino):

I think that the number of ways, is equal to the number of subset of three elements from a set of 8 elements, and that number is: \[\left( {\begin{array}{*{20}{c}} 8 \\ 3 \end{array}} \right) = \frac{{8!}}{{3!3!}} = \frac{{5! \cdot 6 \cdot 7 \cdot 8}}{{3! \cdot 5!}} = ...?\]

OpenStudy (michele_laino):

oops... \[\left( {\begin{array}{*{20}{c}} 8 \\ 3 \end{array}} \right) = \frac{{8!}}{{3!5!}} = \frac{{5! \cdot 6 \cdot 7 \cdot 8}}{{3! \cdot 5!}} = ...?\]

OpenStudy (i_love_my_nieces):

So do it this way^^?

OpenStudy (i_love_my_nieces):

I got 112 but that is not a choice..

OpenStudy (michele_laino):

since in our computation, we can include the repeated subsets, which differ from the order of their elements only

OpenStudy (i_love_my_nieces):

Huh?

OpenStudy (michele_laino):

I got 56: |dw:1428161328145:dw|

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