Melody

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UsernameMelody
Score118735
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avatar+118735 
Melody  Feb 11, 2022
 #3
avatar+118735 
0
Feb 1, 2015
 #7
avatar+118735 
+5

Thanks anon,   

This is what Sydney's Life Savers look like.  

Lifesavers

 

I am not sure that the little cap would suit me LOL

Feb 1, 2015
 #1
avatar+118735 
+5

x + y =2    and xy = 23, then what is x^2 + y^2?

 

$$\\(x+y)^2=x^2+y^2+2xy\\
so\\
x^2+y^2=(x+y)^2-2xy\\
x^2+y^2=2^2-2*23\\
x^2+y^2=4-46\\
x^2+y^2=-42\\$$

.
Feb 1, 2015
 #8
avatar+118735 
+10

This is my 2 cent worth 

There are a number of was to look at this question.  If it was part of a probablitiy question you would assume every ball was numbered as well as coloured

BUT this is NOT a probablily question so I am going to interprete it differently

Added after:  The title is Permutation which means that Order Does Count

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First interpretation:  order does not count.  Here are my choices.    

BBB, BBR, BBW, BRR, BWW, BRW         That makes 6 outcomes

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Now I am going to look at if order does count.

Here are the choices

BBB

BBR or BBW

BRB or BWB

RBB or WBB

Now if I  chose just 2 non-black ones then I can have  WW,WR,RW, or RR  now the black one can be 1st second or third      so that is   4*3=12

Total = 1+6+12=19 ways       [This is the only one with any validity out of my 3]

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NOW LETS LOOK AT IT FROM AN ORDER DOES NOT COUNT PROBABILITY PERSPECIVE

Total number of ways that you can choose 3 b***s from 9 is 9C3=84

Total number of ways of not choosing any black ones is   6C3 = 20

There for total number of ways of haveing a black one in the mix must be 84-20=64

(This is the same answer as most the others got I think)

 

Lets do this the long way and see if there is any agreement

all black   3C3=1

2black and 1 other = 3C2*6C1=3*6=18

1black and 2 other = 3C1*6C2=3*15=45

1+18+45=64                                      GOOD IT IS THE SAME

P(choosing at least 1 black out of 3 where order doesnt count.) = 64/84

 

64 IS NOT THE CORRECT ANSWER BECAUSE THE TITLE OF THIS QUESTION IS PERMUTATION.

64 IS THE ANSWER TO A COMBINATION QUESTION SO IT IS NOT CORRECT  !!

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Now how about if order does count from a proabability perspective

It is all getting a bit much now.     

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Jan 31, 2015