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what are all the possible combinations of 4 out of 242,797,824?

 Jun 7, 2015

Best Answer 

 #1
avatar+33615 
+10

nCr(242797824,4) = 144799782100787625509125247069376

 

Can also write this as 242797824!/(4!*242797820!) = 242797824*242797823*242797822*242797821/4!

 

$${\frac{{\mathtt{242\,797\,824}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,823}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,822}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,821}}}{{\mathtt{4}}{!}}} = {\mathtt{144\,799\,782\,100\,787\,625\,509\,125\,247\,069\,376}}$$

 

That's how many combinations there are.  I don't intend to list them all!

.

 Jun 7, 2015
 #1
avatar+33615 
+10
Best Answer

nCr(242797824,4) = 144799782100787625509125247069376

 

Can also write this as 242797824!/(4!*242797820!) = 242797824*242797823*242797822*242797821/4!

 

$${\frac{{\mathtt{242\,797\,824}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,823}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,822}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,821}}}{{\mathtt{4}}{!}}} = {\mathtt{144\,799\,782\,100\,787\,625\,509\,125\,247\,069\,376}}$$

 

That's how many combinations there are.  I don't intend to list them all!

.

Alan Jun 7, 2015
 #2
avatar+118609 
+5

But Alan, there are doubles in there :/

 Jun 7, 2015
 #3
avatar+33615 
+5

I don't care how many n-tuples there are, I've still no intention of listing them all!!! 

.

 Jun 7, 2015
 #4
avatar+118609 
0

ROF LOL         

 Jun 7, 2015
 #5
avatar+118609 
+5

I am going to try and list them.  Here goes nothing

 

I want all possible combinations of 4 digits from    2 2 2 4 4 7 7 8 9

 

three twostwo twos

1  two and

1 or 2 fours

No 2s

No 4s

2224

2227

2228

2229

2277

2244

2247

2248

2249

2278

2279

2289

2447

2448

2449

2477

2478

2479

2489

7789
Total is 4Total is 8Total is 7Total is 1

 

I get 20 combinations of the digits    

 Jun 8, 2015
 #6
avatar+33615 
+5

I see we have interpreted the question differently Melody.

 

You have taken 242,797,824 as a list of single digits.  I've just assumed there are 242 million, 797 thousand, 8 hundred and 24 distinguishable items.

 

Who knows?!!

.

 Jun 8, 2015
 #7
avatar+118609 
+5

Oh, ok now I see :))

 Jun 8, 2015

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