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what is 8450-8450 but with the interval of a letter being "C" just between both 5's? 

please answer this, math guineses. thank you!

 

 

- A Canadian student struggling.

 Jan 7, 2017
 #1
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84c50   means ( 84x83x82......x36x35)  / (50x49x48x47....x3x2x1)

It represents the number of ways you can pick a combination of 50 things from 84 without repetition.That's what the letter c stands for.

(like picking a team of 50 guys -big team I know- from a choice of 84.Obviously you don't pick the same team twice.)

That aside,if you subtract anything from itself,irrespective of what it is,you just get zero.

So 84c50- 84c50  = 0

 

Explanation

If I wanted to pick a committee of 4 people from a group of 10,the answer would be 10c4

which is  (10x9x8x7)   /(4x3x2x1).This makes sure  I don't pick the same committee twice.

Why?    I get 10 choices for the first person,leaving me with 9 choices for the second  person,then 8 choices for the third person and finally 7 choices for the last person. Which is 10x9x8x7. Am I finished at this point?  No,because within that number of 10x9x8x7 I will have picked the same committee more than once,but in a different order,for example Fred,Jack,Mary,Joan could be one committee,but I will also have picked Jack,Fred,Mary,Joan     Jack Mary Fred Joan   etc  . IE I need to divide 10x9x8x7    by the number of ways I picked my 4 people. Which is just 4x3x2x1,by the same argument. So the answer is (10x9x8x7)  / (4x3x2x1)

 Jan 7, 2017
 #2
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If it is:84C50 it means: 84! / {[84 - 50]! . 50!} =369,100,382,900,362,036,340,508

 Jan 7, 2017

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